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3 years ago

12

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

31° angle with the bottom of the canvas. What is the height of the canvas? Round your answer to the nearest inch. 12 inches 14 inches 24 inches 27 inches

2 answers:

Lisa [10]3 years ago

7 0

Answer:

12 inches

Step-by-step explanation:

Given

$\theta = 31^{\circ}$

$diagonal = 23.3\ in$

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

$sin \theta = \frac{opp}{hyp}$

This gives:

$sin 31^{\circ}= \frac{h}{23.3}$

Make h the subject

$h = 23.3 * sin(31^{\circ)$

$h = 23.3 * 0.5150\\$

$h = 11.9995$

$h = 12\ inches$

zysi [14]3 years ago

5 0

Answer:

A 12 Inches

Step-by-step explanation:

I got it right on the test

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Answer:

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Step-by-step explanation:

Given

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Step-by-step explanation:

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Step-by-step explanation:

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