Real World Trigonometry

A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of the first floor?

• 20 feet

• 22.6 feet

• 24.5 feet

• 26 feet

Tags

CCSS.HSG.SRT.C.8

Solve for the missing distance.

• 18.9

• 19.5

• 47.3

• 27.5

Tags

CCSS.HSG.SRT.C.8

As shown in the diagram, the angle of elevation from a point on the ground to the top of the tree is 34°.

If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.C.8

The diagram shows a ramp connecting the ground to a loading platform 4.5 feet above the ground. The ramp measures 11.75 feet from the ground to the top of the loading platform.

Determine and state, to the nearest degree, the angle of elevation formed by the ramp and the ground.

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.C.8

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building? 

• 220.3 ft. 

• 100 ft.

• 86.6 ft. 

• 73.8 ft. 

Tags

CCSS.HSG.SRT.C.8

• 15.0 feet

• 21.2 feet

• 26.0 feet

• 27.7 feet

Tags

CCSS.HSG.SRT.C.8

A man leaves camp C at 11 a.m. and walks 12 km on a true bearing of 200°. He then stops. A woman also leaves camp C at 11 a.m. However, she walks on a true bearing of 110° for 6.5 km before stopping.

If the man changes direction and walks to where the woman is waiting, on what bearing should he walk? Round your answer to one decimal place.

Tags

CCSS.HSG.SRT.C.8

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6

Tags

CCSS.HSG.SRT.C.8

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?

• 15 miles

• 38 miles

• 17 miles

• 20 miles

Tags

CCSS.HSG.SRT.C.8