# ANGLE OF ELEVATION AND DEPRESSION WORKSHEET

Problem 1 :

A surveyor is standing 100 meters from a bridge. She determines that the angle of elevation to the top of the bridge is 35°. If her height is 2.5 meters tall, then what is the height of the bridge?

Solution

Problem 2 :

From the top of a lighthouse, the angle of depression to a buoy is 25°. If the top of the lighthouse is 150 feet above sea level, find the horizontal distance from the buoy to the lighthouse.

Solution

Problem 3 :

A jet takes off and travels 56 miles to achieve an altitude of 12.6 miles. What is the angle of elevation for the jets path?

Solution

Problem 4 :

Avery is at the top of the Eiffel tower. When looking out she sees the Seine River at an angle of depression of 62°. The height of the tower is 324 meters. What is the horizontal distance from the Eiffel Tower to the River.

Solution

Problem 5 :

Find ''x''.

Problem 6 :

How tall is a tree if it casts a shadow of 50 feet and they rays of the sun meet the ground at a 25° angle?

Solution

Problem 7 :

A sonar operator on a battleship detects a submarine at a distance of 500 m (horizontally) and at an angle of depression of 37°. How deep is the submarine?

Solution

Problem 8 :

Find the measure of the indicated angle.

Solution

Problem 9 :

The angle of elevation of a 110 foot crane is 45°. How high can the crane raise building material?

Solution

Problem 10 :

Find ''x''.

Solution

Problem 11 :

A boy flying a kite lets out 100 feet of string making an angle of elevation of 40°. How high above the ground is the kite?

Solution

Problem 12 :

As viewed from a cliff 360 m above sea level, the angle of depression to a ship is 28°. How far is the ship from the shore?

Solution

Problem 13 :

The angle of elevation from a ship to the top of a lighthouse is 3°. If the ship is 1000 km from the lighthouse, how tall is the lighthouse?

Solution

1) The height of the bridge is 72.52 m.

2)  x = 321.8 feet

3)  𝜃 = 13°

4)  So, the horizontal distance from the Eiffel Tower to the river is 172.28 m.

5)  x = 11.84

6)  So, the tall of the tree is 23.32 feet.

7)  So, submarine is 300.9 meters deep.

8)  x = 21.801°

9)  x = 77.78 ft

10)  x = 2.819

11)  So, the kite above the ground is 64.27 ft.

12)  x = 677 m

13)  x = 52.40 km

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