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Random
Word Problems
100

sine

What is opposite leg over hypotenuse

100

cosine

What is adjacent leg over hypotenuse

100

Tangent

What is opposite leg over adjacent leg

100

Find the sine of 78 degrees to the nearest thousandth

What is 0.978

100

A 10 meter long ladder rests against a vertical wall so that the distance between the foot of the ladder and the wall is 2 meter. Find the angle the ladder makes with the wall and height above the ground at which the upper end of the ladder touches the wall.

What is the ladder reaches 9.8 m up the wall

200

sin 20 rounded to the nearest hundredth

What is 0.34

200

cos 23 rounded to the nearest hundredth

What is 0.92

200

Tan 9 rounded to the nearest hundredth

What is 0.16

200
Find the sine of 38 degrees to the nearest thousandth
What is 0.615
200
Lily is looking at the top of a tall building. The angle of elevation is 80 degrees and she is 12 feet from the building. How tall is the building?
What is 68 ft
300

sin 45 as a fraction

What is √2/2 or 1/√2

300

cos 60 in fraction form

What is 1/2

300

tan 41 = 6.1 over x. Find x

What is x = 7.02

300
Find the cosine of 51 degrees to the nearest thousandth
What is 0.6293
300

A light house is 60 meters high with its base at the sea level, the angle of elevation of a boat is 15 degrees. What is the distance of boat from the foot of the light house?

What is 60√3+1 or √3-1

400

sin 21 rounded to the nearest hundredth

What is 0.36

400

cos 50 rounded to the nearest hundredth

What is 0.64

400

Tan 67 rounded to the nearest hundredth

What is 2.36

400
sin x =1 over 3 Find cos x.
What is 2 √2 over 3 or 0.94
400

An inquisitive math student is standing 25 feet from the base of the Washington Monument. The angle of elevation from her horizontal line of sight is 87.4 degrees . If her “eye height” is 5ft, how tall is the monument?

What is 550.54 ft.

500

sin of 60 as a fraction

What is √3/2

500

cos 30 as a fraction

What is √3/2

500

Tan 4.8 = 1.2 over x find x

What is x = 14.29

500
Can the sine of an angle ever equal 2? Why or why not?
What is No, the hypotenuse > opposite side.
500

John is looking at the top of an Flag pole. If the flag pole is 25 ft. tall and he is 42 ft. from it, what is the angle of his eyesight hitting the flag pole. Use the inverse of the tangent Ratio.

What is 30.76 degrees.