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:
225
Step-by-step explanation:
The sum total of all the angles is 7,740 degrees,
The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon
Set this equal to 7740
180 (n-2) = 7740
Divide each side by 180
180/180 (n-2) = 7740/180
n-2 =43
Add 2 to each side
n-2+2 = 43+2
n = 45
Each vertex hold 5 people so take n and multiply by 5
45*5 = 225
The Ferris wheel holds 225 people
<u>Answer:</u>
37 minutes
<u>Step-by-step explanation:</u>
Lena has 20 dollars. 20 - 12.23 = 7.77
Lena has $7.77 dollars left.
We divide this by .21 to see how many minutes her call was.
7.77 ÷ .21 = 37
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Answer:
B.
Step-by-step explanation:
use distributive property
4*x + 4*3 = 4x+12
Answer:
<h2><u><em>
x = 85</em></u></h2>
Step-by-step explanation:
20% of a number is 17 . find the number
divide 17 by 20 and you find 1%, multiply by 100 and you get 100%
x = 17 : 20 * 100
x = 0.85 * 100
x = <u><em>85</em></u>
