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Homework Help: Math (trigonometry)
Posted by Sammy on Monday, December 3, 2012 at 4:25pm.

 From a boat on the water, the angle of elevation of the top of a cliff is 31°. From a point 300 m closer, the angle of elevation is 33°. Find the height of the cliff. 

the answer should be 2411 m. 

I had tan31° = h/x+(x-300) 
tan33° = h/x-300 -> (x-300)tan33° = h. 

I subbed the first one into the second: 
tan31° = (x-300)tan33°/x+x-300 

I'm not sure how to go from there or if what I have so far is even right.

Answer 1

tan 33 = h/x

tan 31 = h/(x+300)
so
h = x tan 33 = .649 x
then
tan 31 = .649 x/(x+300)

(x+300)(.601) = .649 x
x + 300 = 1.08 x

.08 x = 300
x = 3750
h = .649 x = 2433

Carry more significant figures than I did. When you do the 1.08 - 1 you lose a lot of accuracy

Answer 2

yes i want to do the things very much

Answer 3

NO