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Anastasy [175]
3 years ago
6

mansi shines a beam of light on a mirror. The angle between the beam and the mirror is 25°. The beam reflects off the mirror at

an angle of 25°. Find the measure of the unknown angle.​

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

130°

Step-by-step explanation:

The diagram for the question is redrawn on the attached image. It was obtained online.

Basically, what the question is asking is for the angle between the new path of the beam and the old path if the beam continued without being reflected by the mirror.

The line of the old path of the beam of light is a straight line. And the sum of angles on straight line = 180°

25° + 25° + y° = 180°

y = 180° - 50° = 130°

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Answer:

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Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

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x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

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x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

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Answer:

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