Trigonometry Worksheet

What is the correct ratio?

• 7/24
• 24/7
• 7/25
• 24/25

Find the missing value.

Round to the nearest tenths.

• 52.1^o

• 37.9^o

• 52.1 cm

• 50.6 cm

What is tan 45⁰?

• 1
• 2
• 0.5
• 0.75

Find the missing value.

Round to the nearest tenths.

• 36.6 in

• 43.7 in

• 47.8 in

• 37.4 in

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation (from the ground to the top of the wall) to the top of the wall at 3^o. How tall is the enemy castle wall?

• 78.6 meters

• 1498.0 meters

• 78.5 meters

• 75.3 meters

What is the correct equation to solve for x ?

• tan (58) = x/11
• tan (58) = 11/x
• cos (58) = x/11
• sin (58) = x/11

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation (from the ship in the water to the top of the lighthouse ) to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

• 2000.3 feet

• 2007.3 feet

• 1997.9 feet

• 2134.8 feet

Which is the correct applied ratio?

• A

• B

• C

• D

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

In a right triangle, one side other than the hypotenuse is 8 cm and an acute angle is 45°. What is the length of the hypotenuse?

• 4 cm
• 8 cm
• 8√2 cm
• None of the above