Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:x=7 y=5
Step-by-step explanation:
I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.
Since x represents the year, year 15 will be 15 years.
Plug in "15" as your "x"
y = -2(15)^2 + 36(15) + 6
15^2 = 225 (Exponents come before multiplication)
y = -2(225) + 36(15) + 6
y = -450 + 540 + 6
y = 90 + 6
y = 96
<em>The answer is B</em>
Here is the formula that your going to need to use A=P(1+r/n)^nt
So P=500, R=0.082, N=1, T=15
Plug it into your equation and you have A=500(1+0.082/1)^(1)(15)
Simplify what's in the parenthesis A=500(1.082)^(1)(15)
Multiply your exponents A=500(1.082)^15 Then A=500(3.26)
Finally you multiply your last two numbers to get A=1,630
So after 15 years you would have $1,630
I hope this helped you :)
