Question

A is known to be 6,500 feet above sea level; AB = 600 feet. The angle at A looking up at P is 20°. The angle at B looking up at P is 35°. How far above sea level is the peak P?

Find the height of the mountain peak to the nearest foot.
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Answer 1

height of P above see level=h+6500

Answer 2

cot 20- cot 35 = .1205 @surjithayer

Answer 3

how you calculated?

Answer 4

.9397-.8192

Answer 5

\[\cot20=\cot \left( 90-70 \right)=\tan 70\]
similarly cot 35=tan 55

Answer 6

im so confused so what do i solve for

Answer 7

you know tan 45=1
tan 70 is >1

Answer 8

yes

Answer 9

tan 70=2.7475

Answer 10

tan 55=1.4281

Answer 11

So how do i find h?

Answer 12

\[h=\frac{ 600 }{ \cot 20-\cot 35 }=\frac{ 600 }{ \tan70-\tan 55 }=?\]

Answer 13

454.75?

Answer 14

you have to find height of P above see level.
so add 6500 ft

Answer 15

6954.75

Answer 16

when you round to nearest ft ,what you get?

Answer 17

6955

Answer 18

correct.

Answer 19

THANK YOU

Answer 20

yw