Download Unit 8 Review - Westwind Alternate School

Unit 8 review
1. What number do all the angles in a triangle add up to?
2. What number do all the angles in a triangle add up to?
3. In a right triangle, one angle measures 90o. What is the sum of the other two
angles?
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8. A man stands on the beach and looks through a clinometer at the top of a cliff. He
is standing 550 m from the base of the cliff. How high is the cliff? 4
9. Arrange the following triangles in order from smallest to largest according to the
size of the angle theta.
a. adjacent = 34 and hypotenuse = 64
b. adjacent = 12 and hypotenuse = 64
c. adjacent = 34 and hypotenuse = 54
10. Explain what would happen to the hypotenuse of the right triangle if the angle
theta were to increase and the adjacent side remained the same.
11. What is the angle needed for the sprinkler to spray water in a stream that goes
from the rose bush to the tree?
12. Angela wants to know how tall the 100-year-old tree is in the Redwood forest.
She measures 20 feet away from the base of the tree and uses her clinometers to
measure the angle to the top of the tree to be 47°. Her eye level is 4 feet 6 inches
above the ground. How tall is the tree?
13. Can the sine ratio ever be a number greater than 1? Explain.
14. a. Calculate the angle for sin (A) = 3/5
b. Calculate the angle for cos(B) = 4/5
15. Katie noticed that an angle in a right triangle had a tangent ratio of 1.5.
Describe the lengths of the sides of the triangle. Remember to mention the
hypotenuse.
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a. Determine all the missing information in the triangle.
b. What is the perimeter of the triangle?
c. What is the area of the triangle?
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