Question

A carpenter is inserting a 3-foot brace between two beams as shown in the drawing (below). How far from the vertical beam will the brace reach? Round to the nearest tenth.

Answer 1

@mathstudent55

Answer 2

@TheSmartOne

Answer 3

I'm guessing this is the pythagorean theorum to solve, right?

Answer 4

Pythagorean Theorem

\(\Large\bf a^2 + b^2 = c^2\)

where a and b are the two legs, and c is the hypotenuse

so, solve for x
x^2 + 1^2 = 3^3

Answer 5

x^2 + 1^2 = 3^2 ***

Answer 6

Yes, you are correct on that guess :)

Answer 7

So then 1^2+3^2=3.16, which would be rounded to 3.2?

Answer 8

Or actually, would it then be 2.8 ft because the missing angle is side b and not the hypotenuse?

Answer 9

2.8 is correct :)

Answer 10

Thank you!! Have a great day :D