EXAMPLE 5Find leg lengths using an angle of elevationSKATEBOARD RAMP You want to build askateboard ramp with a length of 14 feet andan angle of elevation of 26°. You need to findthe height and length of the base of the ramp.14 ftSolutionSTEP 1 Find the height.26°Write ratio foropp.hyp.sin 26°sine of 26°.sin 26° = *14Substitute.14 • sin 26° = xMultiply each side by 14.6.1 - xUse 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°.ycos 26°14Substitute.14 • cos 26° = yMultiply each side by 14.12.6 = yUse 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 lengthof the ramp?

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Answered: 7) In Example 5, suppose the angle of…

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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?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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?

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