A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!