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How high can the ladder reach up the wall?Geomtry trig question

How high can the ladder reach up the wall?Geomtry trig question-example-1
User ForestG
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1 Answer

5 votes

Answer:

Step-by-step explanation:

• The side ,opposite, angle 60 degrees = x

,

• The length of the ,hypotenuse, = 30 ft

Using trigonometric ratios, we have that:


\begin{gathered} \sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}} \\ \implies\sin 60\degree=(x)/(30) \end{gathered}

Next, solve the equation for the value of x, the height the ladder will reach:


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