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?
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.
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?
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.
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?
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?
Problem 8 :
Find the measure of the indicated angle.
Problem 9 :
The angle of elevation of a 110 foot crane is 45°. How high can the crane raise building material?
Problem 10 :
Find ''x''.
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?
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?
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?
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
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM