Pythagorean theorem calc: find c, a=12.96148, b=11

1 answer:

eduard3 years ago

3 0

A = 12.96148 b = 11
a^2 + b^2 = c^2
(12.96148)^2 + (11)^2 = c^2
168 + 121 = c^2
289 = c^2
c = sqrt(289)
c = 17 I did a little bit of rounding to get this, but I'm sure it is close enough.

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The height of an object from a distance

olga55 [171]

Y = height
x = distance from tower

tan(19.9) = y/x

tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)

find the tan of the angles:
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replace those values in the equations:
0.362 = y /x
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rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y

now solve:

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subtract 0.362x from each side:

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divide both sides by 0.038
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now that x is known replace x in the original equation and solve for y:

tan19.9 = y /x

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y = 0.362 x 526.3
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the height of the tower is 190.5 feet

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