Answer: 2748.5 feet
Step-by-step explanation:
Given that the
Height h = 120 feet.
angle of depression = 2.5 degrees
The angle of depression is equal to the angle of elevation.
The base of the observation deck will be achieved by using trigonometry ratio.
Tan Ø = opposite/ adjacent
Opposite = height = 120 feet
Adjacent = base = ?
Substitutes the given parameters into the trigonometry ratio.
Tan 2.5 = 120 / adjacent
Adjacent = 120 / tan 2.5
Adjacent = 2748.452
Therefore, the base of the observation deck is 2748.5 feet
Formula for sufrace area of rectangular prisms: S= 2 (lw + lh + wh)
for the first prism, x=14, plug 14 into 2(x)--> 2(14)=28
7,8,28
S= 2 [7(8)+7(28)+8(28)]
S= 2 (28+196+224)
S= 2(448)
S= 896
for the second prism, x is just 14
7,8,14
S= 2 [7(8)+7(14)+8(14)]
S= 2 (28+98+112)
S= 2(238)
S= 476
Add the two sufrace areas we found and the answer will be
D) S= 1,372
Go be to if Derek ID do oh next 37
The answer is 1/(x+4)
Explanation:
You would factor out the denominator
So,
(X-4)(x+4)=x^2-16
So, x-4/(x+4)(x-4)
Then x-4 cancels each other out from the numerator and denominator
Leaving 1/x+4