Solving for Side Lengths of Right Triangles Quiz

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building. Approximately how long is the ramp? Round to the nearest tenth.

10.4 feet

What is the length of CD ? Round to the nearest tenth.

10.7 cm

What is the length of BC? Round to the nearest tenth.

14.5 cm

A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

23.7 in.

What is the length of AB? Round to the nearest tenth.

38.6 m (D)

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o. What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

4.1 in.

What is the approximate value of x? Round to the nearest tenth.

4.6 cm

Which equation can be used to solve for c?

c = 5/cos35 (B)

Which equation can be solved to find one of the missing side lengths in the triangle?

cos(60o) = a/12 (D)

Right triangle ABC is shown. Which equation can be used to solve for c?

sin(50) = 3/c