Angles Review

Triangle LMN is similar to triangle PQR.

Which of the following sets of side lengths could be those of triangle LMN?

• 2 in., 3 in., 4 in.

• 9 m, 12 m, 15 m

• 8 ft, 15 ft, 17 ft

• 6 km, 7 km, 8 km

Which of the following sets of lengths can represent the measure of the sides of a right triangle?

• 5, 12, 15

• 8, 10, 17

• 20, 21, 29

• 4, 5, 6

A tree casts a 25 m shadow when the angle of elevation to the sun is 40. Approximately how tall is the tree?

• 16 m

• 21 m

• 25 m

• 19 m

Triangle DEF is a right triangle. What is the length of DF?

• 40 in

• 10√2

• 20√2

• 20√3

Complete the proof:

• 2: A, 3: F, 4: B

• 2: E, 3: F, 4: C

• 2: D, 3: F, 4: B

• 2: G, 3: F, 4: C

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet