CK-12 Geometry Concepts

(Elliott) #1

http://www.ck12.org Chapter 8. Right Triangle Trigonometry


Chapter Review


Solve the following right triangles using the Pythagorean Theorem, the trigonometric ratios, and the inverse trigono-
metric ratios. When possible, simplify the radical. If not, round all decimal answers to the nearest tenth.


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Determine if the following lengths make an acute, right, or obtuse triangle. If they make a right triangle, determine
if the lengths are a Pythagorean triple.



  1. 11, 12, 13

  2. 16, 30, 34

  3. 20, 25, 42

  4. 10



6 , 30 , 10



15


14. 22, 25, 31


15. 47, 27, 35


Find the value ofx.


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  1. The angle of elevation from the base of a mountain to its peak is 76◦. If its height is 2500 feet, what is the
    distance a person would climb to reach the top? Round your answer to the nearest tenth.

  2. Taylor is taking an aerial tour of San Francisco in a helicopter. He spots ATT Park (baseball stadium) at
    a horizontal distance of 850 feet and down (vertical) 475 feet. What is the angle of depression from the
    helicopter to the park? Round your answer to the nearest tenth.


Use the Law of Sines and Cosines to solve the following triangles. Round your answers to the nearest tenth.


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Texas Instruments Resources


In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to
supplement the objectives for some of the lessons in this chapter. See

Free download pdf