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2 years ago

Consult the figure. To find the length of the span of a proposed ski lift from A to B,

Mathematics

1 answer:

Natasha2012 [34]2 years ago

3 0

The figure is an illustration of laws of sines, and the distance from A to B is 2534 feet

<h3>How to determine the distance AB?</h3>

The given parameters are:

DAB = 25°

L = 1700

ACB = 15°

Start by calculating the measure of angles CAB and ABC

CAB = 180 - DAB

This gives

CAB = 180 - 25°

CAB = 155°

Also, we have:

ABC = 180 - CAB - ACB

ABC = 180 - 155 - 15

ABC = 10°

The length AB is then calculated using the following laws of sines

$\frac{AB}{\sin(C)} = \frac{L}{\sin(B)}$

This gives

$\frac{AB}{\sin(15)} = \frac{1700}{\sin(10)}$

Make AB the subject

$AB = \frac{1700}{\sin(10)} *\sin(15)$

Evaluate

AB = 2533.8151116

Approximate

AB = 2534

Hence, the distance from A to B is 2534 feet

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forsale [732]

X^2+7=0
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x^2+0x+7=0
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x^2+0x=-7
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6 0

3 years ago

Need help on this one

dsp73

The value of x is 21 ft.

Solution:

The given image is a triangle.

In ΔABC, GH is the mid-segment.

Given GB = 21 ft and AG = x ft

<u>To find the value of x:</u>

Since GH is the mid-segment of triangle ABC,

G is the mid point of the line segment AB.

By mid point definition,

AG = GB

AG = 21 ft

x = 21 ft

Option B is the correct answer.

The value of x is 21 ft.

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3 years ago

Marshall wants to run laps around the circular track shown below. He starts at the center of the track and walks 72 yards to the

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The common difference is 4. If you look at the numbers 1 and 5, there is a difference of 4. If you look at 5 and 9, there is also a difference of 4. If you look at 9 and 13, there is a difference of 4. Therefore, in this arithmetic sequence, the common difference is 4.

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Parallel Lines A line is parallel to y = 2x - 8 and intersects the point (-4,-1). What is the equation of this parallel line?

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Answer:

y= 2x+7

Step-by-step explanation:

Since the line is parallel to y = 2x - 8 it has slope m= 2

The equation of the line passing through (-4,-1) is given by,

$\frac{y - ( - 1)}{x - ( - 4)} = m$