# Distance How Far Is 1000 Feet

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## Activity 1: Identify if the following situation represents Angle of

Identify if the following situation represents Angle of Elevation or Angle of Depression. In the
space provided before the number, write E for Angle of Elevation and D for Angle of Depression.
________1. A 20-foot rope tied to the top of a giant tent as support and tied to a rock 8 feet
away from the base of the tent. The angle from the rock to the top of the giant tent.
________2. A 50-meter TV antenna is steadied with a rope secured at the top of the antenna

and tied 30 meters from its base. The angle of the tied rope to the base.

________3. A stone is placed 50 feet from the foot of a tree, the measure of the angle from the

stone to the top of the tree is 53o.

________4. From the roof of a building 210 feet high, the measure of the angle from the building

to the boat is 27 o. The building was built at sea level.

________5. You saw a boy playing with his kite. In your amusement, you approach the boy and
from me to the kite is 57 degrees and if I am standing directly below my kite, it
would be 100 meters.

________6. A cable car rises vertically 1000 feet over a horizontal distance of 5280 feet. What

is the measure of the angle made by the cable car?

________7. A person on the roof of a building, spots a car on the street, 230 feet away from

him he looks at the car at an angle of 57 o.

________8. The angle made by a car to a tower is 32 o. The tower is 150 ft. tall.
________9. A century tree, 200 ft. high, casts a shadow 75 ft. long. The angle of the sun from

the ground.

________10. A big slide in the playground is 110 ft long and rises 32 ft. vertically. The angle

from the ground to the top of the big slide.

Activity 2:
Solve for the needed measurement.
________1. A 20-foot rope tied to the top of a giant tent as support and tied to a rock 8 feet

away from the base of the tent. What is the rope’s angle of elevation?

________2. A 50-meter TV antenna is steadied with a rope secured at the top of the antenna
and tied 30 meters from its base. What is the angle of elevation of the tied rope?
________3. A stone is placed 50 feet from the foot of a tree, the angle of elevation to the top of

the tree is 53o. Find the height of the tree.

________4. From the roof of a building 210 feet high, the angle of depression of a boat is 27 o .
The building was built at sea level. How far is the boat from the building?

Activity 3:
Solve for the needed measurement.
________1. A cable car rises vertically 1000 feet over a horizontal distance of 5280 feet. What

is the angle of elevation of the cable car?

________2. A person on the roof of a building, spots a car on the street, 230 feet away diagonally
from him.He looks at the car at an angle of depression of 57 o. How high is the
building?

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## An airplane A is 1000 feet above the ground and

Ask: An airplane A is 1000 feet above the ground and directly over a church C. The angle of elevation of the plane as seen by a boy at a point A on the ground some distance from the church is 22 degrees.
a. How far, to the nearest foot, is the boy is from the church?
b. How far, to the nearest foot, is the boy from the plane?

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## An airplane A is 1000 feet above the ground and

Ask: An airplane A is 1000 feet above the ground and directly over a church C. The angle of elevation of the plane as seen by a boy at a point A on the ground some distance from the church is 22 degrees.

a. How far, to the nearest foot, is the boy is from the church?
b. How far, to the nearest foot, is the boy from the plane?

4 is a 5 and a half circle find the area of the circle that not pointed the figure below is composed of a rectangle and half circle find the area of the circle that not pointed the figure below is composed of a

Step-by-step explanation:

A po of a rectangle and a half circle find the area of the circle that not pointed the figure below is composed of a rectangle and half circle find the

thanks for the points

Step-by-step explanation:

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## 1.The angle of elevation from a car to a tower

Ask: 1.The angle of elevation from a car to a tower is 32 o. The tower is 150 ft. tall. How far is the car from the tower?2.A century tree, 200 ft. high, casts a shadow 75 ft. long. How elevated the sun is from the ground?3.A cable car rises vertically 1000 feet over a horizontal distance of 5280 feet. What is the angle of elevation of the cable car?4.A person on the roof of a building, spots a car on the street, 230 feet away diagonally from him. He looks at the car at an angle of depression of 57 o. How high is the building?

[tex] sf{}1.[/tex]

[tex] boxed{ begin{array}{}sf{} tan(32) = frac{150}{x} \ \ sf{}x = frac{150}{ tan(32) } \ \ boxed{ boxed{ sf{}x = 240.1 : ft}}end{array}} \ \ [/tex]

[tex]sf{}2.[/tex]

[tex] boxed{ begin{array}{}sf{} tan( theta) = frac{200}{75} \ \ sf{} theta = tan {}^{ – 1} bigg( frac{200}{75} bigg) \ \ boxed{ boxed{sf{} theta =69.44 {}^{o} }} end{array}} \ \ [/tex]

[tex]sf{}3.[/tex]

[tex] boxed{ begin{array}{} sf{} tan( theta) = frac{1000}{5280} \ \sf{} theta = tan {}^{ – 1} bigg( frac{1000}{5280} bigg) \ \ boxed{ boxed{ sf{} theta = 10.72 {}^{o} }}end{array}} \ \ [/tex]

[tex]sf{}4.[/tex]

[tex] scriptsize{}sf{}The : angle : of : depression : is : 57 {}^{o} , : therefore ,: the : angle : of : the : building \ sf{} scriptsize to : the : line : of : sight : of : the : person : is : : 90 {}^{o} – {57}^{o} = underline{underline{33 {}^{o} }}.[/tex]

[tex] boxed{ begin{array}{}sf{} cos(33) = frac{x}{230} \ \ sf{} cos(33) times 230 = x \ \ sf{}192.9 = x \ \ boxed{ boxed{sf{}x = 192.9 : ft}}end{array}}[/tex]

## 4. A 30 feet rope is connected to a stone

Ask: 4. A 30 feet rope is connected to a stone on the ground to the top of a pole. The distance where the
rope was connected to the ground from the pole is 10 feet. Find the height of the pole to the nearest
foot.
A. 5v2 feet
C. 20 feet
B. 2v11 feet
D. 2017 feet
30 ft.
10 ft.
enero Otra Ciga
5. A 15-t tall pole casts a 25-ft shadow. To find for the angle of the
sun that hits the flagpole what could be the trigonometric ratio you
can use?
A. Cosine
C.Secant
15 ft.
D.Tangent
25 A.
B. Cosecant
Meletons
For numbers 6-10 refer to the illustration given below.
6. What quantity describes the value of 3000m?
A. The distance of the helicopter from the island.
B. The distance of the helicopter from the shore.
C. The height of the helicopter above sea level.
D. The height of the helicopter below sea level.
ancom
Por Carcha
7. Which trigonometric function must be used to solve for side b?
A. Sine
C. Tangent
B. Cosine
D. Secant
8. What is the value of b?
A. 2,007.39 m
C. 2,331.84 m
B. 2,229.43 m
D. 2,701.21 m
9. If the distance from the island to the buoy which is anchored directly below the helicopter is 1000
m, how far is the island from the shore?
A. 3,007.39 m
C. 3,331.84 m
B. 3,229.43 m
D. 3,701.21 m
10. Which trigonometric function must be used to determine the distance between a helicopter and
the shore?
A. Sine
C. Tangent
B. Cosine
D. Both A and B​

D

Step-by-step explanation:

Explanation

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## An airplane A is 1000 feet above the ground and

Ask: An airplane A is 1000 feet above the ground and directly over a church C. The angle of elevation of the plane as seen by a boy at a point A on the ground some distance from the church is 22 degrees.
a. How far, to the nearest foot, is the boy is from the church?
b. How far, to the nearest foot, is the boy from the plane?