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Distance of a Moving Object from a Fixed Point A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet, passes over an

intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection t seconds later.

Short Answer

Expert verified

The expression for distance isd=10000+484t

Step by step solution

01

Step 1. Given Information

A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet,

02

Step 2. Finding expression for distance

The distance is the hypotenuse of a right triangle.

Height=100ft

Path of the balloon has speedrole="math" localid="1646029729192" =15miles=155280fthr=22ftsec

d2=1002+22t2d2=10000+484td=10000+484t

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