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.
1 answer:
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:
12 cm
Step-by-step explanation:
The Pythagorean Theorem is as follows:
A and B represent the side lengths (legs) and C represents the hypotenuse.
The length of one leg equals 5cm. (This can be represented by either a or b)
The hypotenuse equals 13 cm.
Plug these into the equation from above:
Solve for the other leg:
Square what's in the parentheses from above
Subtract 25 from 169
Square root both sides
a = 12 cm
Thus, the length of the other leg is 12 cm.
Let's check our answer:
Square everything
144 + 25 = 169 Add
169 = 169
Because both sides are equal it means that 12 cm is the correct answer.
Hope this helps!!