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