Answer: 15 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.
Replacing with the values given:
Tan 31 = x /25
Tan 31 (25) =x
x = 15 feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
6
Step-by-step explanation:
Bruno(B)= 4.5× Charles(C)
Divide both sides by -3, and replace 
with 
. Then
Factorize the quadratic in to get
which in turn means
But 
for all real 
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored:
Because 44 is a bigger number than 4 it is 11 times bigger so the difference is larger than a proportional number
Y=1/2x+2 since the slope is 1/2 and the y intercept is 2
