Right Triangle Trigonometry

1
Right Triangle Trigonometry
2
Objectives

• Calculate the lengths of sides and angles of a
  right triangle using trigonometric ratios.
• Solve word problems involving right triangles and
  trigonometric ratios.

3
Trigonometric Functions for Right Triangles
4
Special Triangles
5
Use trigonometric ratios to find the unknown
sides and angles in the right triangle below
6
Use trigonometric ratios to find the unknown
sides and angles in the right triangle below
7
Use trigonometric ratios to find the unknown
sides and angles in the right triangle below
b 6.5 m?A 54.3
8
Use trigonometric ratios to find the unknown
sides and angles in the right triangle below
a 6.0 b 7.0
9
Use trigonometric ratios to find the unknown
sides and angles in the right triangle below
c .92 m?B 49.9
10
A support cable runs from the top of the
telephone pole to a point on the ground 42.7 feet
from its base. If the cable makes an angle of
29.6 with the ground, find the height of the
pole and find the length of the cable (rounding
to the nearest tenth of a foot).
11
You are hiking along a river and see a tall tree
on the opposite bank. You measure the angle of
elevation of the top of the tree and find it to
be 61.0. You then walk 50 feet directly away
from the tree and measure the angle of elevation.
If the second measurement is 49.5, how tall is
the tree? Round your answer to the nearest foot.