Question

What is the awnser to this problem I don’t know how to do this

Answer 1

Answer:

2.9 units

Step-by-step explanation:

Here the leg lengths are x and 7.7 and the one given angle is 21 degrees.

Think:  which trig function incorporates both the length of the side opposite the 21 degree angle (x) and the vertical side (7.7)?  It's the tangent function:

tan Ф = opp / adj

To be clear:  the side adjacent (next to) the 21 degree angle is 7.7 units in length and the side opposite this angle is x.

Then we have tan 21 degrees = opp / adj = x / 7.7

and so 7.7(tan 21 degrees) = 7.7(03839) = 2.96 or (to one decimal place) 2.9