Question

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

Given the angles in the diagram, who is closer to the treasure chest and why?

a) Nigel is closer because his distance to the chest is opposite the larger angle.
b) Mia is closer because her distance to the chest is opposite the smaller angle.
c) Nigel is closer because his distance from the chest is 100 meters.
d) Mia is closer because her distance from the chest is 100 meters.

Answer 1

its B

Explanation:

Answer 2

The answer is b) Mia is closer because her distance to the chest is opposite the smaller angle.

In the relationship of triangle sides and its angles, the shortest side will always be opposite to the smallest interior angle. Furthermore, the largest side will always be opposite to the largest interior angle. Since Mia's distance to the treasure chest is opposite to the smaller angle 65°, then she is much closer to the chest.