1 year ago

Find the length of the arc.

1 answer:

6 0

This is the answer in different units
Millimeters-7660.46
Centimeters-766.046
Meters-7.66047
Kilometers- 0.00766046
Inches-301.593
Feet-25.13
Yards- 8.37758

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2 years ago

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?

podryga [215]

Given:

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.

Value of sin ∠K:

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;

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

Substituting JL = 24 and JK = 25, we get;

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

Simplifying, we get;

$sin \ K=0.96$

$K=sin^{-1}(0.96)$

$K=73.74^{\circ}$

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

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2 years ago