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AveGali [126]
3 years ago
15

At a certain time of day, a 5 foot tall man has an 8 foot shadow. If a tree is 20 feet tall, what is the distance between the tr

ee and the man? image of a 20 foot tree, a 5 foot man forming a single triangle; the man stands between the tree and its opposite corner and is 8 feet from that corner; the total length of the base of the triangle is x
Mathematics
1 answer:
Leto [7]3 years ago
5 0
If they're asking the distance between the tree and the man's shadow, that would be 12ft and if they're asking the distance between the tree and the actually man, that would be 15ft :).
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To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.

The x component of the 300 lb force is 300cos(60)=150 lbs.

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The x component of the total force is the sum of the x components of the two forces.

Fx=150+450=600

Fy=259.81

The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.

F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.

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