Question

Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.

Answer 1

Answer:

$x=23.82^o$

Step-by-step explanation:

$Solve ~for~x, first ~ we~ need ~ to ~know~y$

$tan~36=\frac{225}{y}$

$y=\frac{225}{tan ~36}$

$y=309.6859321$

$tan(x)=\frac{225}{y+200}$

$x=tan^{-1}(\frac{225}{309.6858321}$

$x=23.81898048$

$x=23.82^o$

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