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erik [133]
3 years ago
11

A ladder leaning against a wall makes a 60 degree angle with the ground. The base of the ladder is 4 m from the building. How hi

gh above the ground is the top of the ladder?
( THE ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

In the triangle formed by the ladder, we have

\tan60^\circ=\dfrac x4

where x is the height of the top of the ladder. Then

x=4\tan60^\circ=\boxed{4\sqrt3}

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