Note Page for Calculator Work and Solving Trig Equations
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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.