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Rainbow [258]
3 years ago
5

A flagpole casts a 13-foot shadow on the ground when the sun is at a 68° angle of elevation.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Step-by-step explanation:

<u>Step 1:  List out all of the formulas for the trigonometric functions </u>

<em>sin(x) </em>= opposite/hypotenuse

<em>cos(x) </em>= adjacent/hypotenuse

<em>tan(x)</em> = opposite/adjacent

<u>Step 2:  Find the value of h </u>

cos(68) = 13/unknown is FALSE

cot(68) = 13/h is FALSE

sin(68) = h/unknown is FALSE

tan(68) = h/13 is TRUE

Answer: The correct option would be D

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I think the answer is 4/12 or 1/3
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3 years ago
In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.
IgorLugansk [536]

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

8 0
3 years ago
An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded mo
natka813 [3]

Answer:

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I don't know if this helps

If it doesn't please don't delete it

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3 years ago
What is the slope of 2x+3y=15
Fynjy0 [20]

Note that the slope-intercept form is: y = mx + b

First, set the equation as such

2x (-2x) + 3y = (- 2x) + 15

3y = -2x + 15

Isolate the y. Divide 3 from both sides

(3y)/3 = (-2x + 15)/3

y = (-2/3)x + 5

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hope this helps

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3 years ago
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