An airplane over the Pacific Ocean sights an atoll at an 13° angle of depression. If the plane is 752 m above the water, how many kilometers is it from a point 752 m directly above the atoll?

Question

jhannybean · Answer

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jhannybean · Answer

Can you solve this using $\large\tan (13)=\frac{752}{x}$ ?

anonymous · Answer

how do you solve it from here i understand how to set it up!

jhannybean · Answer

First,do you understand why we're using tan and not Sin or cos?

anonymous · Answer

yes!

jhannybean · Answer

ok :D $$\large \tan(13)=\frac{752}{x}$$$$\large \frac{1}{752} \cdot \tan(13) = \frac{752}{x}\cdot \frac{1}{752}$$$$\large  x = \frac{\tan(13)}{752}$$

jhannybean · Answer

Did ya get it? :P

anonymous · Answer

I think i did it wrong! the answer choices are:
A.	
 
3.26 km
 
 B.	
 
173.61 km
 
 C.	
 
1624.12 km
 
 D.	
 
3257.27 km