Question

Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.

Answer 1

Answer: 7.40 meters

Step-by-step explanation:

I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)

All you do is:

tan(30)=opposite/adjacent

tan(30)=h/10

10*tan(30)=h

h≈5.77 meters

163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters

This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/