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
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