Applications of Right Triangle

• F

• G

• H

• J

A kite is flying 78 ft above the ground, and the string is pulled taut. The angle of elevation of the kite is 65°.Find the length of the string. Round your answer to the nearest tenth.

• 70.7 ft.

• 36.4 ft.

• 184.6 ft.

• 86.1 ft.

Two boats are due West of a lighthouse. The boats are 200 ft apart. If the angles of elevation are 20 degrees and 62 degrees, respectively, approximate the height of the lighthouse.

• 90 ft

• 80 ft

• 70 ft

• 100

A 12 ft ladder is leaning against a wall, making a 50 degree angle with the ground. If the ladder needs to reach one foot higher up the wall, by how many degrees do you need to increase the angle?

• 15.1 degrees

• 8.2 degrees

• 11.1 degrees

• 9.4 degrees

Find the measure of the smallest angle in a right triangle with sides measuring 9, 12, and 15.

• 43^o

• 35^o

• 53^o

• 37^o

If you are standing 30 ft away from a 22 foot tree, what is the angle of elevation from where you are standing to the top of the tree.

• 71.9 degrees

• 48.1 degrees

• 523.7 degrees

• 36.3 degrees

A railroad track and a road cross at right angles.  An observer stands on the road 70 meters south of the crossing and watches an eastbound train traveling at 60 meters per second.  At how many meters per second is the train moving away from the observer 4 seconds after it passes through the intersection?

• 57.60

• 57.88

• 59.20

• 67.40

The bottom of a 13-foot ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 8 ft. away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles