Practice Test on Right Triangle Trig

Luis is standing on a street in New York City looking at the top of the Empire State Building with a 30-degree angle of elevation. Luis is 767.6 meters from the Empire State Building. How tall is the Empire State Building? (Round answers to the nearest tenth.)

• 383.8 meters

• 443.2 meters

• 664.8 meters

• 1329.5 meters

A student drew this diagram of a right triangle. What is the value of sin T?

Sadie uses an angle-measuring device on a 3-foot tripod to find the height, h, of a weather balloon above ground level, as shown in the diagram. The balloon is at a 40-degree angle of elevation. A radio signal from the balloon tells Sadie that the distance between the tripod and the balloon is 25,000 feet. What is the height, h, of the balloon above ground level? (Round answers to the nearest tenth.)

• 16,066.7 m

• 16,072.7 m

• 38,896.1 m

• 38,890.1 m

Answer explanation

The distance of 25,000 is the hypotenuse of the triangle. So, you should use sin as your trig. function to find height, h.

Use trigonometric ratios to find the value of x. Round you answer to the nearest tenth.

Answer explanation

Your answer should have been 32.96 and rounding to the nearest tenth would push it to 33.

Find the length of side w.

• 21.4 cm

• 18.0 cm

• 36.5 cm

• 43.6 cm

1. Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .

Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .

Find the measure of the angle.  Round to the nearest tenth. 

• 30.8

• 32.1

• 34.3

• 36.9

• A

• B

• C

• D

• E

Right triangle ABC is shown. Select all expressions which are equal to the length of side BC.