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2 years ago

15. An airplane dimbs at an angle of 12 with the ground. Find the horizontal distance it has traveled

Mathematics

1 answer:

irina [24]2 years ago

6 0

<h2>Horizontal distance traveled by airplane is 2352.32 ft</h2>

Step-by-step explanation:

The figure shows the arrangement.

Angle of flight with ground = 12°

We have

$tan12=\frac{BC}{AB}$

We know

BC = Altitude = 500 feet

AB = Horizontal distance traveled.

Substituting

$tan12=\frac{500}{AB}\\\\B=2352.32ft$

Horizontal distance traveled by airplane is 2352.32 ft

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Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

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<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

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2 years ago

HG is the perpendicular bisector of FK. What is the length of GH? 8 9 15 34

igor_vitrenko [27]

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

GH= √225

=15

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