Question #0f211

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Question #0f211

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Answer 1 · 2017-08-29T23:46:04

4.95 meters
5.34 meters

Explanation:

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First, to find how high the ladder reaches, we can use tangent.
the formula for the tangent of an angle is
$tan (θ) = \frac{o}{a}$ $tan(theta)=o/a$
the angle is 68, the adjacent side is 2
$tan (68) = \frac{x}{2}$ $tan(68)=x/2$
multiply by two
$2 \cdot tan (68) = x$ $2*tan(68)=x$
$x = 4.95$ $x=4.95$ meters
then, to find the length of the ladder (y in the diagram) we can use cosine
$cos (θ) = \frac{a}{h}$ $cos(theta)= a/h$
$cos (68) = \frac{2}{y}$ $cos(68) = 2/y$
move the equation around a little bit
$y = \frac{2}{cos (68)}$ $y = 2/cos(68)$
$y = 5.34$ $y = 5.34$ meters

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Question #0f211

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