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Daniel [21]
3 years ago
14

From two points on the same level as the base of a tree, the angles of elevation to the top of the tree are found to be 24° and

46°. If the two points are 42 feet apart and on the same side of the tree, how tall is the tree? (Give your answer to the nearest tenth of an inch.)​
Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

the answer is 32.8in.

Step-by-step explanation:

(sin 22)/42 = (sin 24)/x

x = 45.60

sin 46 = x/45.60

x = 32.80

32.8in.

hope it helped :)

mark me brainliest!

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Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + 2y = 10 → (1)

2y² - 7y + x = 0 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 10 - 2y → (3)

Substitute x = 10 - 2y into (2)

2y² - 7y + 10 - 2y = 0

2y² - 9y + 10 = 0 ← in standard form

(y - 2)(2y - 5) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

2y - 5 = 0 ⇒ 2y = 5 ⇒ y = \frac{5}{2}

Substitute these values into (3) for corresponding values of x

y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B

y = \frac{5}{2} → x = 10 - 5 = 5 ⇒ (5, \frac{5}{2} ) → A

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2 years ago
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Write an equation of the line that passes through (3,2) and is perpendicular to the line y= 1/3x-3
Westkost [7]

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 3 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

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