Finding Sides

Practice Questions

Trigonometry › Finding Sides

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1

If the height of the stair is 2 ft, and the length of the stair is 3 ft, how long must the ramp be to cover the stair?

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2

A surveyor looks up to the top of a mountain at an angle of 35 degrees. If the surveyor is 2400 feet from the base of the mountain, how tall is the mountain (to the nearest tenth of a foot)?

3

In a right triangle, one of the legs has a length of and a hypotenuse of . Find the length of the other side...

4

In a right triangle, the legs are and . What is the length of the hypotenuse?

5

If the altitude of a triangle has a height of 5, and also bisects a 60 degree angle, what must be the perimeter of the full triangle?

6

A horizontal ramp of unknown length meets the ground at angle of 20°. The height of the ramp is 6 feet and makes a right angle with the ground. What is the length of the ramp?

7

A zipline is attached from the edge of the roof of a 23 foot high building and meets the ground 23 feet from the base of the building. Find the angle of elevation the cable makes with the ground.

8

If the two legs of a right triangle are 5 and 7 respectively, what is the length of the hypotenuse?

9

Find the length of .

1

10

Find the length of side .

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