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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.

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 class=

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Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

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adefioyelaoye

23.82° is derived as the value of x according to nthe diagram shown.

What is Angle of elevation?

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

Read more about Angle of elevation here https://brainly.com/question/88158

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