Answer:
4,486.93 ft
Step-by-step explanation:
Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.
Two right triangles can be modeled such that their tangent relationships yield:

Solving the linear system:

The mountain is 4,486.93 ft high.
Answer:
A(9) = -52
Step-by-step explanation:
The given sequence is :
A(n)=-4 -6(n-1)
We need to find the 9th term of the above sequence.
To find it, put n = 9 in the above sequence.
A(9) = -4 -6(9-1)
= -4-6(8)
= -4-48
= -52
Hence, the 9th term of the sequence is -52.
Okay, do 35,000x24=840,000
840,000/104=8,077
8077x75=605,769
605,769+840,000=1,445,769.23
:-)
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Any number inside the modulus sign becomes positive. This means
and so we have,

Solving these gives us


However if we check the second solution in the original equation we obtain
. This is false and so
can't be a solution.
Therefore the only solution is
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)