Solving for Side Lengths of Right Triangles

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

sin(50°) = 3/c

Which equation can be used to solve for b?

tan(30°) = 5/b

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 Line segment A C? Round to the nearest tenth.

10.5 m

Find the length of AC. Use that length to find the length of CD.

10.7 cm

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

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

14.4 in

What is the length of Line segment B C? Round to the nearest tenth

14.5 cm

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

4.6 cm

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

cos(60°)=a/12

Which relationship in the triangle must be true?

sin(B) = cos(90 - B)

Which equation can be used to solve for b?

b=(8)tan=(30)

Which equation can be used to solve for c?

c=5/cos(35 degrees)

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