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Kruka [31]
1 year ago
12

Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14

yards long. Round to the nearest degree.
Mathematics
1 answer:
Tasya [4]1 year ago
4 0

The angle of elevation of the sun from the ground to the top of a tree is 36°.

We are given that:

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trigonometric identity .

tan θ = P / B

As figure is  given below .

AB =  Perpendicular = 10 yards

BC =  Base = 14 yards

Putting all the values in the trigonometric identity .

tan θ = 10 / 14

θ = 36°

Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.

Learn more about angle of elevation here:

brainly.com/question/1851601

#SPJ9

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When y=-2, what kind of line does it have horizontal or vertical
Rashid [163]

Answer: Horizontal

Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.

To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.

So we just draw a horizontal line through the y-intercept of -2.

In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.

Image provided below.

8 0
3 years ago
How do I find the slope and y intercept of y=4x-4​
Scorpion4ik [409]

Answer:

the slope is 4/1 because it's 4x and the y intercept is -4

8 0
2 years ago
Read 2 more answers
Explain how you would choose a scale to use for a map. What things would you need to consider
lianna [129]
A scale drawing is an enlarged or reduced drawing of an object that is similar to an actual object. Maps and floor plans are smaller than the actual size. A scale drawing of a human cell is larger than the actual size.

On a map, the equal sign in 1 in. = 30 mi does not mean that the two quantities are equal, as it would in an equation.

A scale is the ratio that compares a length in a drawing to the corresponding length in the actual object. If a 30-mile road is 1 in. long on a map, you can write the scale of the map in these three ways:

Go here for more. http://www.phschool.com/itext/mgmath_course2/Ch05/05-07/PH_MSM2_ch05-07_Obj1.html
4 0
3 years ago
After allowing 20% discount on the marked price with 13%
saveliy_v [14]

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is  

\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)

Discount D = 20%

Substituting the given values

SP = \mathrm{MP}\left(1-\frac{20}{100}\right)

18080 = \mathrm{MP}\left(1-\frac{1}{5}\right)

18080=\mathrm{MP}\left(\frac{4}{5}\right)

\mathrm{MP}=\frac{18080 \times 5}{4}

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

6 0
3 years ago
Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a
Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x²     (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u>     and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

        y - a² = 2a (x - a)                           y = 2ax - a²   ... (1)

line2: (y - a²) / (x + a) = - 2a                   y = -2ax- a²   ... (2)

(1) - (2): 4ax = 0       a≠0    x = 0

y = - a²

I wish I did it right, or ....

3 0
3 years ago
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