Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as 
. So let's plug in known values:
Multiply both sides by x
divide both sides by sin(43)
Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682
simplify the fraction
Answer:
103
Step-by-step explanation:
add all the angles and make them equal to 360
88 + 108 + (3x-6) + 2x = 360
196 + 5x -6 = 360
190 + 5x = 360
5x = 170
x = 34 = answer
Answer:
B) 4
Step-by-step explanation:
1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.
2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.
So, the angle of depression from the lighthouse to the boat is 4.
