Download Solving a Right Triangle

GEOMETRY: Chapter 9
9.6 Solve Right Triangles
Solving a Right Triangle
To solve a right triangle means to
find the measures of all of its sides
and angles. You can solve a right
triangle if you know either of the
following:
1) Two side lengths
2) One side length and the measure of
one acute angle.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 482.
Ex. 1: Use a calculator to approximate the
measure of angle Q to the nearest tenth of a
degree.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 484.
Ex. 2: Let angle C be an acute angle in a right
triangle. Use a calculator to approximate the
measure of angle C to the nearest tenth of a
degree.
a. sin C=0.24
b. cos C=0.37
Ex. 3:
Solve the right triangle formed by the water
slide shown below. Round decimal answers
to the nearest tenth.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 484.
Ex. 4
A road rises 10 feet in a horizontal distance of
200 feet. What is the angle of inclination?
9.6, p. 570-571, #8-32 all