Honors Geometry 5.5 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 plane takes off at an angle of 37 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

• 7.5 miles

• 13.3 miles

• 6 miles

• 16.6 miles

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

Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 22^o. What is the length of the Spencer’s run (his trip down the hill)?

• 3712.6 feet

• 561.9 feet

• 606.04 feet

• 4004.2 feet

A plane flying at 2000 ft altitude begins a 25 degree angle of descent (or angle of depression) to land. What is the distance along the ground the plane will travel before it lands?

• 4289 ft

• 932.6 ft

• 845.2 ft

• 4732.4 ft

Choose the correct answer below.

• A. 51.4 degrees

• B. 38.6 degrees

• C. 38 degrees

• D. 54.1 degrees

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8