Right Triangle Trig Word Problems

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

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

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

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

• 1.6 ft

• 74.2 ft

• 86.9 ft

Tags

CCSS.HSG.SRT.C.8

Find the height of the tree. Assume the angle looking up to the tree is 38^o.

• 12.5 ft
• 11.9 ft
• 6.88 ft
• 17.5 ft

Tags

CCSS.HSG.SRT.C.8

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

• $19.8\degree$

• $18.7\degree$

• $70.2\degree$

• $71.3\degree$

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 ft
• 65 ft
• 74 ft
• 87 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. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

• $19\degree$

• $45\degree$

• $71\degree$

• $138\degree$

Tags

CCSS.HSG.SRT.C.8

Example 2: Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 37^o

• 28^o

• 53^o

Tags

CCSS.HSG.SRT.C.8

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

• 4.1 in

• 3.9 in

• 22.7 in

• 0.7 in

Tags

CCSS.HSG.SRT.C.8