Asked by john
Being some distance from a mountain a man looks up at a 9 degree angle to see the top of the moutain. he then moves 13 miles away from the mountains at looks up at a 3.5 degree angle to see the top of the mountain. How tall is the mountain?
Answers
Answered by
bobpursley
Calculus? This is a standard trig question.
draw the figure, two right triangles.
inner triangle: tan9=h/x x is the distance to the mountan.
outer triangle: tan3.5=h/(x+13)
two equations, two unknowns.
x=h/tan9
x=h/tan3.5 -13
h/tan9=h/tan3.5 - 13
solve for h
draw the figure, two right triangles.
inner triangle: tan9=h/x x is the distance to the mountan.
outer triangle: tan3.5=h/(x+13)
two equations, two unknowns.
x=h/tan9
x=h/tan3.5 -13
h/tan9=h/tan3.5 - 13
solve for h
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