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worty [1.4K]
2 years ago
12

The area of a square garden is shown. How long is each side of the garden? A=121ft^2

Mathematics
1 answer:
polet [3.4K]2 years ago
8 0
The answer is 30.25ft
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In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
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<u>Given</u>:

Given that JKL is a right triangle.

The measure of ∠L is 90°

The length of JL = 24, LK = 7, and KJ = 25.

We need to determine the value of sine of ∠K.

<u>Value of sin ∠K:</u>

The value of sin ∠K can be determine using the trigonometric ratio.

Thus, we have;

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

Substituting \theta=K, the side opposite to angle K is JL and the hypotenuse is JK

Thus, we have;

sin \ K=\frac{JL}{JK}

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sin \ K=\frac{24}{25}

Simplifying, we get;

sin \ K=0.96

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Thus, the measure of sine of ∠K is 73.74°

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3 years ago
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