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fomenos
1 year ago
8

a contractor is on top of 167 ft Tower looking down at a 37 degree angle of depression at a package attached to a rope on the gr

ound.Which is closest to, X the length of the Rope?

Mathematics
1 answer:
ArbitrLikvidat [17]1 year ago
3 0

Using trigonometry ratio

\sin 37^0=\frac{167}{x}\begin{gathered} 0.6018\text{ = }\frac{167}{x} \\ 0.6018x\text{ = 167} \\ x\text{ = }\frac{167}{0.6018}\text{ = 277.5ft} \end{gathered}

x = 277.5 ft

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Step-by-step explanation:

we can use the discriminant b² - 4ac to determine the nature of the roots

• If b² - 4ac > , roots are real and distinct

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• If b² - ac < 0, roots are not real

for x² + 2x + 5 = 0

with a = 1, b = 2 and c = 5, then

b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16

since b² - 4ac < 0 there are 2 complex roots

using the quadratic formula to calculate the roots

x = ( - 2 ± \sqrt{-16} ) / 2

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