Right Triangle Word Problems

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 tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Tags

CCSS.HSG.SRT.C.8

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 

Tags

CCSS.HSG.SRT.C.8

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

• 10 feet

• 7.5 feet

• 8.3 feet

• 3.8 feet

Tags

CCSS.8.G.B.8

Which trigonometric function would you use to find "h", the height of the tree?

• sine

• cosine

• tangent

• none of these

Tags

CCSS.HSG.SRT.C.6

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

814 feet

• 814 feet

• 1,078 feet

• 1,426 feet

• 936 feet

Tags

CCSS.HSG.SRT.C.8

A building 62 feet tall casts a shadow 21 foot long.  At what angle is the sun shining on the building?

• 19.80

• 18.71

• 70.20

• 71.29

Tags

CCSS.HSG.SRT.C.8

Tags

CCSS.HSG.SRT.C.8

Round your answer to the nearest tenth.

• 36.9^°

• 31.0^°

• 59.0^°

• 53.1^°

Tags

CCSS.HSG.SRT.C.8