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1 year 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]1 year 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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Could someone please help me solve this?

Ber [7]

the answer to your equation is

n=40

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3 years ago

Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and the

Iteru [2.4K]

Answer:

Speed of a= 21 miles/hr

r = Speed of b= 7 miles/hr

Speed of a = 3r

Step-by-step explanation:

The cyclist are 112 miles apart

Time traveled by two = 4 hours

Speed of a = 3 * speed of b

If a cylcles 3 times More than b, then a will cover 3*distance of b

But speed = distance/time

Time = 4hours

Total distance=112

a = 3b

3b + b = 112

4b = 112

b = 112/4

b = 28 miles

a = 3b

a = 3*28

a = 84 Miles

They bought traveled 4 hours

Speed of a = 84miles/4 hours

Speed of a= 21 miles/hr

Speed of b = 28miles/4 hours

Speed of b = 7 miles/hr

5 0

3 years ago

Hoover Dam, in the United States, is 223 meters high. Ertan Dam, in China, is 240 meters high. Write and evaluate a numerical ex

Black_prince [1.1K]

Your expression would be: 240-233

The correct answer is: The Ertan Dam is 7 meters higher than the Hoover Dam.

I hope this helps!
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Have a wonderful evening! : )

5 0

3 years ago

Brent biked 800 meters on Friday. On Saturday, he biked 3 kilometers. On Sunday, he biked 2 kilometers, 600 meters. How many

DochEvi [55]

Answer:

333

Step-by-step explanation:

3 0

3 years ago

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of t

BARSIC [14]

Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft

Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side

We are given that:
area = 120 ft²

Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft

Hope this helps :)

3 0

3 years ago

Read 2 more answers