Question

Please show me the steps on how to do this.


Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.

I'm learning about vectors right now.
Options:
o 54 degrees
o 36 degrees
o 46 degrees
o 44 degrees

Answer 1

Hint: \[tan(\theta)=\frac{opposite}{adjacent}\]

Answer 2

Okay, I figured it out! :) I had to use the inverse tangent trigonometric identity. I got 35.5, so it is 36.

Answer 3

Yep:)

Answer 4

Thanks! :) I have a quick question.

Answer 5

I have another problem stating '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?"

Answer 6

I think it would look like this. Therefore, I would have to use the tangent method again, right?

Answer 7

Sorry...was getting food. It looks like the same type of question to me...same method to solve.

Answer 8

Okay, I got 39 degrees for my answer. How do you know when to use the inverse tangent method? I forgot.

Answer 9

You use inverse tan/cos/sin when you want to find an angle and you know the other required side lengths.

Answer 10

Okay, thanks a lot! :)

Answer 11

np ;)