jadekelllly 2 years ago Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.

1. amistre64

im not too sure but here is the picture

3. amistre64

you need to be able to determine which trig function to use to determine which inverse to apply with its ratio

4. amistre64

|dw:1371744935406:dw|

5. amistre64

|dw:1371744994831:dw|

I do know that the angle of elevation is 39.4

7. amistre64

the angle of depression relates to how far he tilts his head to look down, in this case its that same angle at the right side. i think that 39.4 is a bit too big for it tho ... close, but just a little off

8. amistre64

it might be worth noting that both cosine and sine use the slanted part of the triangle, and since that measure is not given its prolly best to use the tangent function

9. amistre64

tan(a) = over/next.to tan(a) = 6/7.5 a = tan^(-1)(6/7.5)

the answer was 38.6 or something.

11. amistre64

yes, 38.66 rnded as needed

12. amistre64