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aleksley [76]
3 years ago
13

The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet ab

ove the cable’s lowest point. Find the lengths b and c, and find the measure of the angle theta.
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°

Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft

The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
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3 years ago
There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val
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Answer:

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Step-by-step explanation:

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Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and  total number of regular tickets.

So the equation can be written as;

x+y=120\ \ \ \ \ equation\ 1

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So the equation can be written as;

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x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3

Now Subtracting equation 3 from equation 2 we get;

(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38

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x+y=120\\38+y=120\\y=120-38\\y=82

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3 0
3 years ago
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Anuta_ua [19.1K]

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Step-by-step explanation:

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In this case, according to the information given in the exercise, you know that \frac{3}{8}\ lb of rubies are divided into 4 lots.

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5 0
3 years ago
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