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gogolik [260]
3 years ago
14

Chelsea sitting 8 feet from the foot of a tree. From where she is sitting the angle of elevation of her line of sight to the top

of the tree is 36°. If your line of sight starts at 1.5 feet above ground how tall is the tree to the nearest foot

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

6 ft

Step-by-step explanation:

We’ll use the trigonometric rule of SOHCAHTOA;

Well use <em>TOA</em> – since we know the value of the adjacent side and we are evaluating for the opposite side;

Tan Φ = Opposite / Adjacent

Tan 36 = x / 8

x = Tan 36 * 8

x = 5.81234

x = 6 ft

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Find the center and radius of the circle with the equation. Please show work!
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Answer:

<h2>(1, -2)</h2>

Step-by-step explanation:

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(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)

3 0
3 years ago
Simplify.<br><br> 16 - 8 + 5x - 3x<br><br> 16 + 2x<br> 8 + 8x<br> 8 + 2x<br> 10x
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Answer:

8+2x

Step-by-step explanation:

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A 2X2 square is centered at the origin. It is dilated by a factor of 3. What are coordinates of the vertices of the square?
Vesna [10]

Answer:

The vertices are:

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B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1),  B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

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B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

7 0
3 years ago
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The probability that the result is green - tail is 1/6.

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<h3>What is the formula for probability?</h3>

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Therefore ,the probability that the result is green - tail is 1/6.

To learn more about the probability visit:

brainly.com/question/25870256

5 0
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