Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the

Question

3 years ago

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Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the

roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams

Mathematics

1 answer:

luda_lava [24] · Answer 1 · 2022-05-13T14:16:50+03:00

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

$cos x=\frac{adjacent}{hypotenuse}$

$cos x=\frac{15}{17}$

taking cos inverse

x = $cos^{-1} (\frac{15}{17} )$

x = 28.07° : Answer

Hope it will help :)