Question

1. A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door? (1 point)39°
51°
53°
37°

2. A boat is crossing the river as shown. To the nearest tenth of a degree, find the angle at which the boat must head upriver in order to travel directly across the river. The diagram is not drawn to scale.
can anyone help with this quiz. I am so confused about this trigonomoetry stuff...

Answer 1

\[\tan a = \frac{ 9.3 }{ 7.4 } \rightarrow a = \tan^{-1} \frac{ 9.3 }{ 7.4 }\]
\[b = 90 - a\]