Probability and Trigonometry

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 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

Solve for x. Round to the nearest tenth.

• 7.5
• 34.1
• 14.1

Find the measure of the missing angle.

• 64^o
• 26^o
• 61^o
• .008^o

What is the correct ratio?

• 7/24
• 24/7
• 7/25
• 24/25

What is the correct ratio?

• 6/10
• 6/8
• 8/10
• 8/6

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 standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 

• 11.1 ft. 
• 9 ft. 
• 7.4 ft. 
• 13.8 ft. 

Round your answer to the nearest tenth.

• 36.9^°

• 31.0^°

• 59.0^°

• 53.1^°

Solve for the missing angle.

• 15.5

• 16.9

• 18.5

• 17.7

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36