Trigonometry Answers

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A right triangle has a hypotenuse of length 7 mm and one leg of length 3 mm.

How long is the other leg?

a) 12.6 mm


b) 2 mm


c) 4 mm


d) 6.3 mm

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What radian measure is equivalent to 145°?


a) 15π/32


b) 32π/15


c) 36π/29


d) 29π/36

What is the measure of the central angle of a circle, in degrees, with radius 5 m that intercepts a 2 m arc?


a) 0.4


b) 22.9


c) 72


d) 143.2

What is the length of the arc on a circle with radius 16 ft intercepted by a 60° angle?


a) 5.3


b) 15.3


c) 16.8


d) 960

Mr. Elliott is heading on a ski trip to Revelstoke Mountain. While driving his car towards the mountain Mr. Elliott measures the angle of elevation to the top of the mountain to be 5°. He drives 15 km closer to the mountairn and measures the new angle of elevation to be 22°. Assuming Mr. Elliott was driving on a level (flat) road, find the height of the mountain (in metres).

simplify (sin^2(x)+2sin(x)+1)/(sin^2(x)+sin(x))