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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

Simplify: sinA = 27/81

What is 1/3

300

cos 60 to the nearest hundredth

What is 0.50

300

tan 41 = 6.1/ 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 223.9 m

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

When is Ms Miller's birthday?

When is June 23!

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

Simplify: SinT = 52/91

What is 4/7

500

Simplify: CosA = 30/84

What is  5/14

500

Tan 4.8 = 1.2/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

Mark is flying a kite and realizes that 300 feet of string are out. The angle of the string with the ground is 42.5∘. How high is Mark's kite above the ground?

What is 202.7 ft?