Chapter 1: Q. 110 (page 17)

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 is $d = \sqrt{10000 + 484 t}$

Step by step solution

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,

Step 2. Finding expression for distance

The distance is the hypotenuse of a right triangle.

Height $= 100 f t$

Path of the balloon has speedrole="math" localid="1646029729192" $= 15 m i l e s = 15 \times 5280 \frac{f t}{h r} = 22 \frac{f t}{s e c}$

$d^{2} = 100^{2} + 22 t^{2} d^{2} = 10000 + 484 t d = \sqrt{10000 + 484 t}$

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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

Step by step solution

Step 1. Given Information

Step 2. Finding expression for distance

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding expression for distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Probability and Statistics

Applied Mathematics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.