The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. the length of line segment bc is 15 cm. which is the approximate measure of angle acb? a)31.0° b) 36.9°c) 53.1° d)59.0°

Choice C) 53.1 degrees

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Explanation:

Check out the attached image below for the drawing of the right triangle.

Let theta = angle ACB be the reference angle

According to this reference angle, the adjacent side BC is 15 while the hypotenuse is AC = 25. Use the cosine ratio and the arccosine (or inverse cosine) function to solve for the approximate angle. Make sure your calculator is in degree mode

cosine(angle) = adjacent/hypotenuse

cos(theta) = BC/AC

cos(theta) = 15/25

cos(theta) = 3/5

theta = arccos(3/5)

theta = 53.1301

theta = 53.1

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

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