The horizontal shadow of a vertical tree is 23.4 m long when the angle of elevation of the sun is 56.3 degrees. How tall is the tree? Round to the nearest meter.

Question

amistre64 · Answer

id try to use a tangent function ....

amistre64 · Answer

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anonymous · Answer

How would I do that? :P

amistre64 · Answer

you need to recall the definition for the tangent function, the rest is just basic algebra

amistre64 · Answer

once you have that definition, let me know

anonymous · Answer

Opposite/Adjacent?

amistre64 · Answer

yep so they give us an angle, a, and a known length, k.

so,  tan(a) = h/k

h = k tan(a)  which a calculator set to degree mode should pop out

anonymous · Answer

So h=23.4*tan(56.3)
h=35.0868
Right?

amistre64 · Answer

thats what i get ... so rnding to 35m  should suffice

anonymous · Answer

Ok :) thank you.

amistre64 · Answer

youre welcome