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Tju [1.3M]
3 years ago
11

A ladder is placed against a wall such that it reaches the top of the wall at a height of 6 meters. The ladder is inclined at an

angle of 60 degrees from the ground. How far is the ladder from the foot of the wall?
(Please show work)

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

3.46 meters

Step-by-step explanation:

In the right triangle, Using Trigonometry

\tan 60^\circ = \dfrac{6}{x} \\$Cross multiply\\x\tan 60^\circ =6\\$Divide both sides by \tan 60^\circ\\x=\dfrac{6}{\tan 60^\circ}\\\\x=3.46$ meters

The ladder is 3.46 meters from the foot of the wall.

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B80%7D%20" id="TexFormula1" title=" \sqrt[3]{80} " alt=" \sqrt[3]{80} " ali
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