Trigonometry word problems

Solve for the missing angle.

• 50

• 0.053

• 36.9

• 95

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 slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Tags

CCSS.8.G.B.8

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?

• 12 feet

• 13.9 feet

Tags

CCSS.8.G.B.8

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

Tags

CCSS.HSG.SRT.C.8

Choose the correct ratio.

• sin(37)=x/14
• cos(37)=x/14
• tan(37)=x/14
• sin(37)=14/x

Tags

CCSS.HSG.SRT.C.6

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees
• 20 degrees
• 28 degrees
• 35 degrees

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

Tags

CCSS.HSG.SRT.C.6

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?
HINT: Assume this is a right triangle.

• 19.80
• 18.71
• 70.20
• 71.29

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.
HINT: Assume this is a right triangle.

• 63 ft
• 65 ft
• 74 ft
• 87 ft