You would solve that problem by using one of the Trigonometric functions, setting the degrees equal to 40, and then setting 2 sides equal to the trig function(40).
You could do it in your head or by using a calculator.
Answer:
15.1 m^2
Explanation:
Since this is a right triangle we can use trig functions
tan theta = opp side / adjacent side
tan 40 = x / 6
6 tan 40 = x
5.03 =x
To find the area,
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 5.03) * 6
A = 15.09 m^2
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