Sine
Cosine
Tangent
Word Problems
Special Triangles
100

What is sin 50 degrees?

0.766

100

What is cos 15degrees

0.966

100
What is tan 65degrees?
2.145
100

An observer is standing 10 ft from a tree looking at the top of the tree at a 78 degree angle. What is the height of the tree?

47 ft

100

In a 45-45-90 triangle, the ratio of the two legs

1

200
A triangle has the opposite side of 10m and the hypotenuse has x, the given angle is 34 degrees. What is the value of x?
17.88
200

A triangle has an adjacent side of x and the hypotenuse is 29, the given angle is 21 degrees. What is the value of x?

20.07

200

A triangle has an adjacent side of 6m and the opposite has x, the given angle is 15 degrees. What is the value of x?

1.61

200

A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36 degrees and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

29 ft

200

In a 30-60-90 triangle, the ratio of the hypotenuse to the side opposite to the 30 degree angle

2

300
A triangle has the hypotenuse at 8cm and the opposite has an x, the given angle is 62 degrees. What is the value of x?
7.06
300

A triangle has an adjacent side of 15m and the hypotenuse has x, the given angle is 57 degrees. What is the value of x?

27.54

300

A triangle has an adjacent side of x and the opposite is 89m, the given angle is 28 degrees. What is the value of x?

167.38

300

Simon is standing on the street corner. Simon’s eyes are 6 feet off of the ground. He is looking down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an angle of 40°, how far is he from the cockroach?

5.96 ft

300

In a 45-45-90 triangle, the ratio of the hypotenuse to one of the legs of the triangle

square root of 2

400

0.174

sin 10degrees?

400

0.906

cos 25degrees

400

0

tan 0 degrees

400

If Kirk stands 200 feet from the geyser and the eruption rises 175 feet in the air, what is the angle of elevation to the top of the spray to the nearest tenth?

41.19 degrees

400

In a 30-60-90 triangle, the hypotenuse is 12. The side opposite to the 60 degree angle

6*square root of 3

500

0.707

sin45 degrees

500

0.5

cos 60 degrees

500

1

tan 45degrees

500

A sledding run is 300 yards long with a vertical drop of 27.6 yards. What is the angle of depression of the run?

5.3 degrees

500
In a 45-45-90 triangle, the hypotenuse is square root of 8. The legs of the triangle

2

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