# APPLICATION OF RIGHT ANGLE WITH TRIGONOMETRY WORKSHEET

Solve the problem.

Problem 1 :

A 29 foot water slide has a 17 foot vertical ladder. How far is it along the ground from the end of the slide back to the base of the ladder that leads to the slide?

Solution

Problem 2 :

A painter leans a 30 foot ladder against one wall of a house. At what height does the ladder touch the wall if the foot of the ladder is 10 ft from the base of the wall?

Solution

Problem 3 :

From a distance of 45 feet from the base of a building, the angle of elevation to the top of the building is 68˚. Estimate the height of the building to the nearest foot.

Solution

Problem 4 :

A kite is currently flying at an altitude of 15 meters above the ground. If the angle of elevation from the ground to the kite is 35˚, find the length of the kite string to the nearest meter.

Solution

Problem 5  :

From a distance of 1217 feet from a spotlight, the angle of elevation to a cloud base is 43˚. Find the height of the cloud base to the nearest foot.

Solution

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.

Problem 6 :

b = 8, A = 30˚; Find a, c and B.

Solution

Problem 7 :

a = 2, A = 40˚; Find b, c and B

Solution

Problem 8 :

a = 7, b = 4; Find c, A and B.

Solution

Problem 9 :

a = 4, c = 9; Find b, A and B.

Solution

1) Base of the ladder is 23.5 ft.

2) Height is 28.3 ft.

3) Height of the building is 111 feet.

4) Length of the kite string is 26 meters.

5) Height of the cloud base is 1135 ft.

6)  c = 9.24, a = 4.62, B = 60˚

7)  c = 3.11, b = 2.38, B = 50˚

8)  c = 8.06, A = 60.26˚, B = 29.74˚

9)  b = 8.06, A = 26.39˚, B = 63.61˚

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