GEOMETRY: Chapter 99.6 Solve Right Triangles

Solving a Right TriangleTo 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 lengths2)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?

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