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7) In Example 5, suppose the angle of elevation is 35°. What is the new height and base length of the ramp?

7) In Example 5, suppose the angle of elevation is 35°. What is the new height and base length of the ramp?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.3: Right Triangle Trigonometry
Problem 63E: Empire State Building You are standing 45 meters from the base of the Empire State Building. You...
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EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation of 26°. You need to find the height and length of the base of the ramp. 14 ft Solution STEP 1 Find the height. 26° Write ratio for opp. hyp. sin 26° sine of 26°. sin 26° = * 14 Substitute. 14 • sin 26° = x Multiply each side by 14. 6.1 - x Use a calculator to simplify. > The height is about 6.1 feet. STEP 2 Find the length of the base. adj. cos 26° hyp. Write ratio for cosine of 26°. y cos 26° 14 Substitute. 14 • cos 26° = y Multiply each side by 14. 12.6 = y Use a calculator to simplify. The length of the base is about 12.6 feet.
Transcribed Image Text:EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation of 26°. You need to find the height and length of the base of the ramp. 14 ft Solution STEP 1 Find the height. 26° Write ratio for opp. hyp. sin 26° sine of 26°. sin 26° = * 14 Substitute. 14 • sin 26° = x Multiply each side by 14. 6.1 - x Use a calculator to simplify. > The height is about 6.1 feet. STEP 2 Find the length of the base. adj. cos 26° hyp. Write ratio for cosine of 26°. y cos 26° 14 Substitute. 14 • cos 26° = y Multiply each side by 14. 12.6 = y Use a calculator to simplify. The length of the base is about 12.6 feet.
7) In Example 5, suppose the angle of elevation is 35°. What is the new height and base length of the ramp?
Transcribed Image Text:7) In Example 5, suppose the angle of elevation is 35°. What is the new height and base length of the ramp?
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