Trigonometric Calculator Work and Solving Triangles

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Trigonometric Calculator work

Date: ___________________

F4 c) Solve problems, with or without the use of technology, involving one or more right
triangles by applying primary trigonometric ratios and/or the Pythagorean Theorem.
Using your calculator determine the following to four decimal places
a) sin 30

b) cos 48

c) tan 60

Using your calculator determine the measure of the angle that give the following four decimal places
a) sin θ = 0.5000

b) cos θ = 0.1123

Try the following to four decimal places

c) tan θ = 0.5436

Solve each angle to the nearest degree

2) sin 47

16) sin θ = 0.2588

4) tan 84

18) cos θ = 0.8572

6) cos 31

20) tan θ = 0.4877

8) sin 30

22) cos θ = 0.7547

10) tan 55

24) tan θ = 9.5144

12) cos 89

26) sin θ = 0.7193

14) sin 45

Solving Right Triangles
When asked to solve a triangle it means to solve for all missing sides and angles.
Ex #1

Given one angle and two sides

A
5

B

6

C

Ex #2

F

4

H

12
G

Ex #3 Given one side and two angles
T
3

B

A

Ex #4

S
14

A

T

Creating your own triangle and solving for missing information

Date:____________

Angle of Elevation: ________________________________________________

Angle of Depression: ___________________________________________________

a) The angle of elevation to a helicopter is 12 degrees. The distance from you to the helicopter is 16 km.
How high is the helicopter?

b) You are at the top of a cliff 20 m high. The angle of depression to a boat is 52 degrees. How far is the boat
to the bottom of the cliff?

Using a Clinometer: Equipment: tape measure, clinometer As a class we will determine the height of the
classroom wall using a Clinometer.
1)
Measure the distance the person is away from the wall In meters _______________
2) Determine the measure of the angle of elevation for the person to view the top of the wall through the
clinometer. Angle of Elevation _______
3) Draw a picture of the scenario. Use trigonometry to solve for the height of the wall.

4) Measure the actual height of the wall in meters _________________ Determine the difference between
the clinometers measure and the actual height of the wall._____________________________________

Read the problem carefully, draw a picture, label sides and angles and write a conclusion for the problems
question. Show all work. Answers are provided to one decimal place.

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