Geom 02_08_17 sect 6_8

1

February 08, 2017

Solve the right triangle. Round decimal answers to the nearest tenth.Show all work!

Brain Stretch.......

m A=____

m B=____

b = ____

6.8 Inverse Trigonometry

Applications

Learning Target: I can apply inverse trigonometry to solve for angles that occur in real world problems.

A pilot needs to begin his descent when his plane is 7.5 km above ground and 200 km straight to the airport.

1.

b) How much ground will he pass from the point of initial descent until he touches down at the airport?

a) At what angle should his descent be so that he can fly in a straight line from the point of initial descent to the ground?

A ladder is leaning against the side of a house so that the distance on the ground between the base of the ladder and the house is 7 ft.

2.

a) If the the ladder is 15 ft. long, then what is the angle at which the ladder is leaning?

b) At what height does it reach the house?

A dog spots a cat in a tree. He would like to make friends with the cat or eat it. The dog is 20 feet from the base of the tree, the cat is perched 15 feet high in the tree. What is the angle of elevation that the dog is looking at the cat?

3.

What is the angle of depression that the cat is looking at the dog?

World of Right Triangles

Hypotenuse

(H)

hyp2 = leg2 + leg2

Geom 02_08_17 sect 6_8

2

February 08, 2017

Homework

WS 6.8