SohCahToa Word Problems

A wooden beam 24 feet long leans against a

wall and makes an angle of 71° with the

ground. How high up the wall does the beam

reach to the nearest foot?

• 8 feet

• 23 feet

• 70 feet

• 25 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A ladder leaning against a building makes an

angle of 65° with the ground and reaches a

point on the building 20 feet above the

ground. What is the length of the ladder to

the nearest foot?

• 9 feet

• 41 feet

• 47 feet

• 22 feet

Tags

CCSS.HSG.SRT.C.8

An airplane climbs at an angle of 13° with

the ground. What is the horizontal distance it has

traveled (to the nearest hundred feet) when it

has attained an altitude of 400 feet?

• 410 feet

• 2000 feet

• 1800 feet

• 1700 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A 20-foot pole leaning against a wall reaches

a point 18 feet above the ground. What is the

angle which the pole makes with the ground

to the nearest degree?

• 64°

• 26°

• 48°

• 42°

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

When the plane had flown 4,150 feet from

the airport where it had taken off, it had

covered a horizontal distance of 3,660 feet.

What is the angle at which the plane rose

from the ground to the nearest degree?

• 28°

• 62°

• 49°

• 41°

Tags

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

At a point on the ground 46 feet from the

foot of a tree, the angle of elevation of the

top of the tree is 48°. What is the height of

the tree to the nearest foot?

• 50 feet

• 30 feet

• 51 feet

• 33 feet

A boy visiting Chicago views the Sears

Tower from a point on the ground which is

1,240 feet from the base of the building. The

angle of elevation from the boy to the top of

the building is 49°. What is the height of the

building to the nearest foot?

• 814 feet

• 1078 feet

• 1426 feet

• 936 feet

The angle of depression of an object on the

ground is 14° from the top of the tallest

building in the world, one of the Petronas

towers in Malaysia, which is 1,483 feet high.

What is the distance from the object to the

base of the tower to the nearest foot?

• 370 feet

• 6130 feet

• 1528 feet

• 5948 feet

The top of a ladder leaning against a building

reaches a point on the building which is

29 feet above the ground. If the base of the

ladder is 7 feet from the building, what is the

measure of the angle that the ladder makes

with the level ground to the nearest degree?

• 76°

• 14°

• 57°

• 36°

Adam and Brian are standing some distance

apart on the same side of a building 50 m tall.

From where Adam stands, the angle of

elevation of the top of the building is 30°.

From where Brian stands, the angle is 60°.

What is the distance x between Adam and

Brian to the nearest tenth of a meter?

• 57.7 meters

• 42.3 meters

• 28.9 meters

• 86.6 meters