Geo 232-02 Unit Test 6A: Trigonometry

Last updated almost 3 years ago
12 questions
PART 1: Pythagorean Theorem
2

Solve for x

Show your work and round your answer to one decimal place.

3

Select one of the two diagams and solve for x.


Show your work and round your answer to one decimal place.

3

Select ONE of the following THREE questions to answer.
  1. In Fayetteville, the library is 3 miles due west of the post office and the zoo is 5 miles due north of the library. What is the distance from the post office to the zoo?
  2. Two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall. If a 24-foot wire is stretched between the tops of the posts, how far apart are the posts?
  3. 15.6-inch laptop is featured in a sales ad for $799. This distance is the diagonal distance across the screen. If the screen measures 7.8 inches in height, what is the width of the screen?
Show your work and include the units (ie feet, meters, cm, miles, km...)

1

Determine whether the triangle with the given side lengths is acute, right, obtuse or not a triangle
3, 9, 10

1

Determine whether the triangle with the given side lengths is acute, right, obtuse or not a triangle
6, 12, 19

1

Determine whether the triangle with the given side lengths is acute, right, obtuse or not a triangle
21, 28, 35

PART 2: Right Triangle Trigonometry
4
Directions: Find the indicated trigonometric ratio as a fraction in simplest form.


a) \sin{L}=_______
b) \tan{N}=_______
c) \cos{L}=_______
d) \sin{N}=_______
8
Directions: Solve for x. Round all answers to the nearest tenth. Do 2 of the following 4.
a) ANSWER: x = _______

b) ANSWER: x =_______


c) ANSWER: x=_______

d) ANSWER: x=_______
8
7. Directions: Solve for x. Round all answers to the nearest tenth. Do 2 of the following 4.

a) ANSWER: x=_______ \degree


b) ANSWER: x = _______ \degree



c) ANSWER: x= _______ \degree



d) ANSWER: x=_______ \degree

8

Directions: Solve for x. Round all answers to the nearest tenth. Do a) or b).


6
9. Directions: Draw a diagram, then solve. Don’t forget to include the units (ie feet, meters…)
Do 2 of the following 4.

Selection A) Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59°, how far is Kurt standing from the base of the pole?


Selection B) A helicopter flying 1,600 feet above the ground spots an airplane flying above. If the horizontal distance between the helicopter and airplane is 3,055 feet and the angle of elevation is 71°, find the airplane’s altitude.

SELECTION C: A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water to the shark is 19°, what is the horizontal distance between the boat and the shark?


SELECTION D: While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?

ANSWER 1: _______ , Selection (A, B, C or D )_______

ANSWER 2:_______ , Selection (A, B, C or D) _______

* You may include additional question answers in the 'Show Your Work' section.
OPTIONAL SECTION
8
OPTIONAL: Solve for x

Answer to 18: _______
Answer to 19: _______
Answer to 20: _______
Answer to 21:_______