Trig Word Problems

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

• 34 degrees

• 56 degrees

• 72 degrees

• 15 degrees

Tags

CCSS.HSG.SRT.C.8

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground? Round to the nearest whole degree.

• 66 degrees

• 80 degrees

• 30 degrees

• 19 degrees

Tags

CCSS.HSG.SRT.C.8

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

• 5.3 feet

• 2.8 feet

• 3.2 feet

• 11.3 feet

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 it's current position? Round your answer to the nearest whole mile.

• 15 miles

• 38 miles

• 17 miles

• 20 miles

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?

• 11.1 ft.

• 9 ft.

• 7.4 ft.

• 13.8 ft.

Tags

CCSS.HSG.SRT.C.8

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

• 63.6 ft
• 1.59 ft
• 74.2 ft
• 86.9 ft

Tags

CCSS.HSG.SRT.C.8

A ladder is leaning against a house at an angle of 39 degrees. If the ladder is 12 ft. long, how far is the bottom of the ladder from the house? 

• 15.4 ft.
• 9.3 ft.
• 20.2 ft. 
• 5.3 ft. 

Tags

CCSS.HSG.SRT.C.8

Round to the tenths place.

• 11.9 ft

• 5.4 ft

• 14.3 ft

• 9.6 ft

Tags

CCSS.HSG.SRT.C.8