Solving for Side Lengths of Right Triangles

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

10.4 feet

The equation sin(40°) = b/20 can be used to determine the length of line segment AC. What is the length of AC? Round to the nearest tenth.

12.9 cm

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

a. 10.5 m

A right triangle has a 30° angle. The leg adjacent to the 30° angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth.

a. 14.4 in.

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

a. sin(50°) = 3/c

Which equation can be used to solve for b?

a. tan(30°) = 5/b

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

b. 4.1 in.

Which relationship in the triangle must be true?

b. sin(B) = cos(90 - B)

Find the length of AC. Use the length to find the length of CD. What is the length of CD? Round to the nearest tenth.

c. 10.7 cm

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

c. 14.5

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

c. 23.7 in.

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

c. 4.6 cm

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

d. 38.6 m

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

d. cos(60°) = a/12