Question

Find the value of e.

Answer 1

Explanation:

Use the Law of Sines:

a b

--------- = ---------

sin A sin B

In this case we have the following:

e 15.7

--------- = -------------

sin 61° sin 45°

Solving for e through cross-multiplication:

15.7 sin 61°

e = -------------------- = 19.4

sin 45°

Answer 2

You can use the law of sines, which states that the ratio between a side and the sine of the opposite angle is constant: in this triangle, we have

`(e)/(\sin(E))=(p)/(\sin(P))=(r)/(\sin(R))`

In this particular case, we can use the information we have about sides and angles e, r, E, R and we have

`(e)/(\sin(E))=(r)/(\sin(R))`

Plugging the values, we have

`(e)/(\sin(61))=(15.7)/(\sin(45))`

Solving for e, we have

`e=(15.7\sin(61))/(\sin(45))\approx 19.41`