Question

Round your answer to the nearest hundredth.
A= ?

Answer 1

ok , using Pythagoras theorem hyp²=opp²+adj² therefore /CB/ will be opp , Making A the angle

7²=opp²+5² which is 49=x²+25

x²=49-25=✓24

=4.9

using SOH CAH TOA

sin A = 4.9/7

=0.7 , A is then sin-¹ 0.7

=136

Answer 2

use cosine since you are given the adjacent side and the hypotenuse

Cos θ =
`(adj)/(hyp)`

Cos θ =
`(5)/(7)`

use the inverse of cosine to find the angle

θ =
`cos^(-1)((5)/(7))`

θ = 44.4153086...

θ = 44.42°