A small airplane is approaching an airport as shown in the diagram. Given that sin 40 degrees = 0.64, cos 40 degrees = 0.77, and band tan 40 degrees = 0.84, find the distance marked d in the diagram. Explain your method for finding the distance.

Question

anonymous · Answer

|dw:1369790032853:dw|

anonymous · Answer

@rulnick  do you know what to do for this problem?

rulnick · Answer

As shown, it would be cos(40 degrees) = 8000 ft / d
so
d = 8000 ft / cos(40 degrees) = 8000 ft / 0.77 = ...

anonymous · Answer

so would the answer be about 10,390 ft

rulnick · Answer

Yes, it appears so, given the info above.

anonymous · Answer

alright thanks alot! sorry to take up more of your time, i just needed some help on how to solve the problem.

rulnick · Answer

no problem at all.