Right Triangle Applications

The bottom of a 13-foot straight 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?

Tags

CCSS.8.G.B.8

Solve for the missing angle.

• 50

• 0.053

• 36.9

• 95

Tags

CCSS.HSG.SRT.C.8

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

Tags

CCSS.HSG.SRT.C.8

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? 

Tags

CCSS.HSG.SRT.C.8

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to its current position?

Tags

CCSS.HSG.SRT.C.8

• 6.9 ft

• 4.3 ft

• 3 ft

• 5.2 ft

Tags

CCSS.HSG.SRT.C.8

A girl is flying a kite that has 155 ft long string. It has a 15 degree angle of elevation. How high is the kite flying above the ground?

• 149.7 ft

• 40.1 ft

• 41.5 ft

• 621.7 ft

Tags

CCSS.HSG.SRT.C.8

Jade is standing outside on a sunny day. At 2:00pm, the distance from the top of her head to the

end of the shadow is 13 feet. If Jade is 60 inches tall, what is the angle of elevation from the top of her shadow to the top of her head? (remember to convert inches to feet before you answer!)

Tags

CCSS.HSG.SRT.C.8

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

Tags

CCSS.HSG.SRT.C.8

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

Tags

CCSS.HSG.SRT.C.8