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| Math Central | Quandaries & Queries |
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Question from nombulelo, a student: the shadow of a tower,when the angle of elevation of the sun is 30degrees is found to be 40 meters longer than when it is 45 degrees. Find the height of the tower |
Hi Nombulelo,
In my diagram the height of the tower is $h$ meters.
What trig function relates the height $h$ metres, the side length $x$ metres and the angle measurement $45^o?$
What trig function relates the height $h$ metres, the side length $40 + x$ metres and the angle measurement $30^o?$
This gives you two equations in $h$ and $x.$ Solve for $h.$
Penny
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