Use a calculator to evaluate 8 · cos30° rounded to four decimal places.
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Answer:
23.09 ft
Step-by-step explanation:
Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .
From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .
Now since we have base and perpendicular , we should use the ratio of tangent as ,
And here = 60° . On substituting the respective values , we have ;
And the value of tan60° = √3 , so that ;
Cross multiply ,
The value of √3 is 1.732 approximately .
Simplify,
And we are done !
