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In AWXY, the measure of ZY=90°, YW = 9.3 feet, and XY = 4.4 feet. Find the measure of ZX to the nearest tenth of a degree.

In AWXY, the measure of ZY=90°, YW = 9.3 feet, and XY = 4.4 feet. Find the measure of ZX to the nearest tenth of a degree.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ull T-Mobile LTE 12:19 PM 1 0 57% A deltamath.com Feb 03, 12:19:16 PM In AWXY, the measure of ZY=90°, YW = 9.3 feet, and XY = 4.4 feet. Find the measure of ZX to the nearest tenth of a degree. 4.4 Y 9.3 Answer: Submit Answer attempt 1 out of 2 / problem 1 out of max 1
Transcribed Image Text:ull T-Mobile LTE 12:19 PM 1 0 57% A deltamath.com Feb 03, 12:19:16 PM In AWXY, the measure of ZY=90°, YW = 9.3 feet, and XY = 4.4 feet. Find the measure of ZX to the nearest tenth of a degree. 4.4 Y 9.3 Answer: Submit Answer attempt 1 out of 2 / problem 1 out of max 1
Expert Solution
Step 1

Since  ∠X =x∘  and YW=9.3 feet  ,  XY=4.4 feet

As given triangle is right angled triangle.

Also   tanθ=PerpendicularBase

For ∠X , Base is XY , and perpendicular distance is YW.

Hence

tanx∘=YWXY     , then

x∘=tan-1YWXY=tan-19.34.4

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