Question

Find the measurement of angle A and round the answer to the nearest tenth. :)

(Show work if you can plsss)

Answer 1

40.82

Explanation:

You need to use trig identities, which are sin(θ)=opposite length/hypotenuse length, cos(θ)=adjacent length/hypotenuse length, and tan(θ)=opposite length/adjacent length.

In your diagram, we see that the only available information is the length opposite of the angle x (19) and adjacent to angle x (22), so we will use the tan identity.

tan(x)=19/22

we need to solve for x, and so we need to get x alone. This can be done by using inverse tan: arctan or
`tan(x)^(-1)`. Note that we ARE NOT taking the equation to the exponent of -1, this is just notation for a trig identify.

arctan(x)tan(x)=x

x= arctan(19/22)

arctan(19/22)= 40.82

and so

x=40.82