Solve Right Triangles - East Pennsboro High School

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Transcript Solve Right Triangles - East Pennsboro High School

Solve Right Triangles
Ch 7.7
Solving right triangles
• What you need to solve for missing sides and
angles of a right triangle:
– 2 side lengths
– or
– A side and an angle
Inverse Trigonometric Ratios
Find the measure of angle C
adjacent
opposite
opp
tan
 C
adj
1 20
tan
 C
15
53.13  C
1
•Ask yourself, “what 2 sides
do I have?”
•Ask yourself, “what trig
function should I use? Sine?
Cosine? Or Tangent?”
•Set up the ratio
•Find the angle measure.
Find the móC and móA
Solve the triangle
Solve the triangle
Solve the triangle
Assume the given angle is acute, find the
angle measure to the nearest tenth
• sin A = 0.78
1
sin 0.78  51.3
cos x  0.99
1
cos 0.99  8.1
tan x  0.45
1
tan 0.45  24.2