Answer:
distance of diver 1 from the shark ≈ 18.88 m
Explanation:
The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.
Therefore,
180 - (52 + 39) = 180 - 91 = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.
Using the law of sine we can find the distance of the diver 1 from the shark.
let a = distance of the first diver to the shark.
a/sin 39° = 30/sin 89°
cross multiply
a sin 89° = 30 sin 39°
divide both sides by sin 89°
a = 30 sin 39°/sin 89°
a = 30 × 0.62932039105 /sin 89°
a = 18.8796117315 /0.99984769515
a = 18.8824876258
a ≈ 18.88 m