8.3

Inverse Trig Ratios

Refresh…Solve the following

14⁰

23

x14

29⁰

x

What if we want to find an angle measure?

15

22

A

BC

• Find the measure of angle A.

• Label “h” “o” and “a”• Set up equation

Ex: Find the angle measures to the nearest whole degree

3

2

A

C B

Boys: find angle B first Girls: find angle A first

Ex: Find the two angle measures to the nearest degree

12

13

D E

F

A 35 foot ladder leans against a wall so that the base of the ladder is 12 feet from the base of the building. To the nearest tenth, what angle does the ladder make with the ground? What is the angle of depression?

On a beautiful sunny day in downtown Chicago, you walk by the new Trump International Tower. You stop at the edge of the building's shadow which is 500ft away from the front door. What is the angle of elevation from you to the top of the 1,362 foot building ?

Michael and Lucas were having a free throw contest. The challenge was to remain seated on the free throw line and try and make a free throw from the ground. If the height of the basket is _________ ft and the distance from the end line to the free throw line is __________ ft, find distance the ball must travel AND the angle of elevation the boys have to throw the ball.