Question

Please help it’s due soon!!!

Answer 1

tan∠A =
`(3)/(4)`

Explanation:

SOHCAHTOA

O= Opposite

H= Hypotenuse

A = Adjacent

So according to this the 3 is the opposite side and 5 is the hypotenuse.

So we need to find adjacent side for Tan.

For this we will use pythagorean theorem.
`a^(2) + b^(2) = c^(2)` c is the hypotenuse, b is the base.

We are sure that the hypotenuse is 5 but we dont know which side is 3 but it wont matter we can put it in either a or b because it would be adjacent at the end as we already know the other 2.

`3^(2) +b^(2) = 5^(2) \\9 + b^(2) = 25\\b^(2) = 16\\b^(2) = 4^(2) \\b = 4`

So the adjacent side 4. Now according to TOA tan∠A =
`(3)/(4)`