Advanced Geometry

Name: ______________________________________ Unit 5 Review. Right Triangles + Trigonometry. Chapter 9

1) You should be able to solve all of these by hand without the use of a calculator. Find EXACT answers.

A. B. C. D.

E. F.

2) Solve for y. 3) Find the exact perimeter of the trapezoid.

4) Round to the tenths place at each step.

x

16

30 x

5

60° 5 2

x

x 1

x

3 2

60°

45°

x

1

30°

10

20

60°

5) The person at the top of a rollercoaster

knows the angle of depression to their car in the parking lot of the amusement park is 15°. The rollercoaster is 100 feet high. How far is the person from their car to the nearest hundredth of a foot?

6) Evelyn designs her dream home with a right triangle roof. A few years later, she needs to replace the roof and wants to gather some information to help her. All answers should be exact.

a. What is the height of her roof?

b. What is the area of the face of the roof?

7) Find h. Round your answer to the nearest tenth.

8) Find x + y.

10 8

y

x

30°

16 feet

21 feet

85

Hangman. Solve the Message.

162 12 5

12√3 28 11 4√6 10√3 36 + 18√2 4 5

O L V R E I T G H 1) If cos(𝐴) = 5

13 , find tan(𝐴). 2) In a 45° − 45° − 90° triangle, the hypotenuse is 18√2. What

is the area of the triangle?

3) Find the measure of angle A to the nearest whole degree. Use this: 4) What is the cosine of the smallest angle in a 6-8-10 right triangle? 5) √432 6) 𝑐√3 = 12√2 7) √121 8) What is the perimeter of the triangle in #2? 9) In a 30-60-90 right triangle, the hypotenuse is 20, what is the longer leg? ______ _______ _______ ________ ______ _______ _______ _________ _______ Triangles! 1 2 5 7 3 6 8 4 9

17

15

8

A