9.6 Use Trig Ratios to

Solve Word Problems

Hint: When solving word problems draw the pictureO Remember the Trig ratios previous

learned in lessons 9.1-9.5

O sin = cos tan =

New vocabulary: Angle of Elevation and Depression

New vocabulary: Angle of Elevation and Depression

Lets try a Problem #1 O This one is drawn for youO Problem: A tree cast a shadow

shown. What is the height of the tree?

About 15 ft.

Lets try another #2

Problem: The Falls Incline Railway at Niagara Falls has an angle of elevation if 36°. The railway extends a horizontal distance of about 138 feet. Find the height and length of the railway.

Height: 100 ft. Length: 171 ft.

You Try #3

You

Problem: You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of elevation to the top of the balloon is 28°. Find the height of the balloon.

28°

50 meters

h ?

Ans: about 26.6 m

You Try #4

Problem: You use a 12 foot ramp to load items into a van. If the floor of the van is 4 feet off the ground, what is the angle of elevation of the ramp? (Hint: draw the picture and label)

The End