Sine
Cosine
Tangent
Missing Angle/Inverse Trig
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

What is the name of the notation we use for an angle?

What is theta

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. Round to the nearest tenth degree. 

What is theta is approximately 11.5 degrees
200

sin 20 rounded to the nearest tenth

What is 0.3

200

cos 23 rounded to the nearest tenth

What is 0.9

200
Tan 9 rounded to the nearest hundredth
What is 0.16
200

Find theta, if the sine of theta = 12 over 15. Find the degree to the nearest thousandth.

What is 53.130

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? Round to the nearest whole number. 

What is 68 ft

300

sin 60 as a whole number

What is 1

300

cos 80 as a whole number

0

300
tan 41 = 6.1 over x. Find x
What is x = 7.02
300

Find theta, if the cosine of theta = 3 over 7. Find the degree to the nearest tenth.

What is 64.6

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? Round to the nearest tenth. 

What is 223.9 meters. 

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

Find theta, if the tangent of theta = 1 over 4. Find the degree to the nearest whole number.

What is 14

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? Round to the nearest whole number. 

What is 556 ft.

500

sin 10 = x over 5 find x, round to the nearest tenth

What is 0.9

500

cos 12 = 6 over x find x, round to the nearest tenth

What is 6.1

500

Tan 4.8 = 1.2 over x find x. Round to the nearest hundredth. 

What is x = 14.29

500

Find theta, if the sine of theta = 27 over 29. Find the degree to the nearest tenth.

What is 68.6

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 (angle of depression)? Round to the nearest tenth. 

What is 59.2 degrees.

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