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Word Problems
100

sine output

What is ratio opposite leg over hypotenuse

100

cosine output

What is adjacent leg over hypotenuse

100

Tangent output

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

Av is looking at the top of a tall building. The angle of elevation is 80 degrees and he is 12 feet from the building. How tall is the building?

What is 68 ft

300

input for sine

What is theta

300

input for cosine

What is the angle theta

300

tan 41 = 6.1/x [6.1 over x]. Find x to the nearest hundredths

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

the angle of a triangle with opposite 5 and hypotenuse 13

22.62 degrees

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

output for inverse sine

What is the angle theta

500

input for inverse cosine

What is the ratio adjacent over hypotenuse

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

Rayan 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 their eyesight hitting the flag pole. Use the inverse of the tangent Ratio.

What is 59.2 degrees.