Using the law of sines, supposing C = 30º, the angle of each observer with the sailboat is:
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A has length a.
- The length of the side opposite to angle B has length b.
- The length of the side opposite to angle C has length c.
The lengths and the sine of the angles are related according to the following rule:
The measure of angle B is found as follows:
sin(B)/10 = sin(C)/20
sin(B)/10 = 0.5/20 (sin(C) = 0.5)
sin(B) = 5/20
sin(B) = 0.25
B = arcsin(0.25)
B = 14º.
The measure of angle A is found as follows:
sin(A)/25 = sin(C)/20
sin(A)/25 = 0.5/20 (sin(C) = 0.5)
sin(A) = 12.5/20
sin(A) = 0.625
A = arcsin(0.625)
A = 136º.
<h3>Missing information</h3>
The problem is incomplete, hence we suppose that the angle C is of 30º and problem asks for the angle measure of each angle.
(drawing is not to scale).
More can be learned about the law of sines at brainly.com/question/4372174
#SPJ1