Answer:
20.833 feet
Step-by-step explanation:
The light reflects off the mirror at the same angle that it hits it at. So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.
Therefore, we can write and solve a proportion.
h / 10 = 6.25 / 3
h = 20.833
The beam is 20.833 feet tall.
Hello!
In our triangle, c is the hypotenuse. We are given an adjacent side length to our angle. This means we will use the cosine. Let's find it first.
cos54≈0.59
This gives us the equation below.
0.59=9/c
0.59c=9
c≈15.25
Therefore, c is equal to about 15.25
I hope this helps!
Answer:
Step-by-step explanation:
Answer:
The length of line segment FG is equal to the length of F'G'
The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.
Step-by-step explanation:
Given
CDEFG and C'D'E'F'G
Translation: 7 units up and 5 units left
Solving (a): Segment FG and F'G'
When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)
Hence:
Solving (b): Perimeter CDEFG and C'D'EF'G'
In (a), we established that lengths do not change during translation;
Hence:
The perimeter of the CDEFG and C'D'EF'G' will remain the same