Trig Practice Test

Lou and Ed are lying on the ground and looking up at the top of a tree. This diagram shows their positions, and the distance Lou is from the tree. What is the approximate distance between Lou and Ed? (Round answers to nearest whole number.)

• 42 ft.

• 24 ft.

• 18 ft.

• 10 ft.

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

Which of the following is equal to sin 25?

• cos 25

• cos 65

• sin 65

• tan 25

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.

Answer explanation

Angles J and K are complementary - cos J is equivalent to sin K. If you draw out a right triangle and label the sides based on cos J, you'll see that sin K is the same value.

Which expression gives the length of the side marked x?

Answer explanation

Set up your trig ratios. The x value is the denominator (bottom number in the fraction), so swap and divide.

Which expression gives the measure of angle A?

Answer explanation

Remember that sin is Opposite over Hypotenuse, and since we're finding an angle measure, we use the inverse trig. function. Label your triangle and see which function is correct.

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.

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

Answer explanation

Your answer should be 26.17, and rounding to the nearest tenth would make it 26.2.