Right Triangle Trigonometry and Applications

Set up the problem...

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

solve for x

• 5552363959656.

• 10

• 100

• 89

Find the measure of the indicated angle.

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

Solve the right triangle. Round measures of sides to the nearest hundredth and angles to the nearest degree.

• <B = 39^o, AB = 11.58, AC = 7.29

• <B = 39^o, AB = 7.29, AC = 11.58

• <B = 129^o, AB = 11.58, AC = 7.29

• <B = 129^o, AB = 7.29, AC = 11.58

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3