1. Right Triangle Trigonometry 4.8
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2. Objectives
Use trigonometric functions to model and solve real-life problems.
Use angle of elevation and angle of depression to solve problems.

3. Applications Involving Right Triangles

4. Applications Involving Right Triangles
Solve the triangle. Find all missing parts.
b=10, <C=50°, <B=90° Find <A, a, c
c=12, <C=48° , <B=90° Find <A, a, b

5. Applications Involving Right Triangles
Find the missing angle, Ө : a. 3 4 Ө b. 4 6

6. Applications Involving Right Triangles
You may be given the angle of depression, which represents the angle from the horizontal downward to an object. The angle of elevation is the angle from the horizontal upwards to an object.

7. Using Trigonometry to Solve a Right Triangle
A surveyor is standing 115 feet from the base of the Washington Monument, as shown in figure below. The surveyor measures the angle of elevation to the top of the monument as 78.3. How tall is the Washington Monument?

8. Using Trigonometry to Solve a Right Triangle
A plane takes off at an angle of 5° with the ground. After traveling 1 mile in the air, how high is the plane above the ground in feet?

9. Using Trigonometry to Solve a Right Triangle
A boat is observed from the top of a 30 ft. tower. The angle of depression from the tower to the boat is 15°. How far is the boat from the tower?