Right Triangle Applications

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Tags

CCSS.HSG.SRT.C.8

Example 1: A boy who is flying a kite lets out 300 feet of string, which makes an angle of 52^o with the ground. Assuming that the string is stretched taut, find, to the nearest foot, how high the kite is above ground.

• 384 feet

• 236 feet

• 185 feet

• 45 feet

Tags

CCSS.HSG.SRT.C.8

• 0.083ft

• 146.5ft

• 96.1ft

• 154ft

Tags

CCSS.HSG.SRT.C.8

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

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

The top of a ladder is leaning against a vertical wall, 12 feet above the floor. The bottom of the ladder is resting on the floor, 9 feet from the base of the wall. How long is the ladder?

• 15 feet

• 17 feet

• 19 feet

• 21 feet

Tags

CCSS.8.G.B.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8

Which equation could be used to find the measure of one acute angle in the right triangle at the right? 

• tanB = 14/9 
• cosA = 9/14
• tanB = 9/14
• sinA = 9/14

Tags

CCSS.HSG.SRT.C.6

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

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

Tags

CCSS.8.G.B.8