nigel and mia are searching for a treasure chest under water. the straight line distance between them is 100…

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? nigel is closer because his distance to the chest is opposite the larger angle. mia is closer because her distance to the chest is opposite the smaller angle. nigel is closer because his distance from the chest is 100 meters. mia is closer because her distance from the chest is 100 meters.

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? nigel is closer because his distance to the chest is opposite the larger angle. mia is closer because her distance to the chest is opposite the smaller angle. nigel is closer because his distance from the chest is 100 meters. mia is closer because her distance from the chest is 100 meters.

Answer

Explanation:

Step1: Recall triangle - side - angle relationship

In a triangle, the side opposite the smaller angle is shorter.

Step2: Identify angles

The angle opposite Nigel's distance to the chest is $80^{\circ}$, and the angle opposite Mia's distance to the chest is $65^{\circ}$. Since $65^{\circ}<80^{\circ}$.

Answer:

Mia is closer because her distance to the chest is opposite the smaller angle.