3 years ago

Give first the step you will use to seperate variable and then solve the equation:-a) 4x=25

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer:

Divide by 4

Step-by-step explanation:

4x/4=25/4

x=25/4

x=6.25

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As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id

levacccp [35]

ANSWER

The height is $22ft$

EXPLANATION

Let the height of the chimney be x.

$\tan(45 \degree) = \frac{x}{y}$

$1 = \frac{x}{y}$

$x = y$

$\tan(30 \degree) = \frac{x}{16+ y}$

$\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}$

Cross multiply

$\sqrt{3} (16 + y) = 3x$

$16 \sqrt{3} + y \sqrt{3} = 3x$

Put

$y = x$

into the equation;

$16 \sqrt{3} + x \sqrt{3} = 3x$

Group similar terms:

$16 \sqrt{3}= 3x - x \sqrt{3}$

$16 \sqrt{3}= (3 - \sqrt{3})x$

$\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x$

$x=21.856$

The height of the chimney to the nearest feet is 22