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iris [78.8K]
3 years ago
11

The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th

e lighthouse, from the height of the lighthouse.
Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

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25x^2 = 16

divide each side by 25

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take the square root of each side

sqrt (x^2) = +- sqrt(16/25)

x = +- sqrt(16)/sqrt(25)

x = +- 4/5

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Which factored form is equivalent to the expression x^2 + 5x + 4? A) (x + 2)(x + 3) B) (x + 4)(x + 1) C) (x + 5)(x − 1) D) (x −
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<h3>Answer ↓</h3>

option B.

Calculations ↓

First, let's think of two numbers so that :

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So the correct factored form of this expression is

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The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD a
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The measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). This can be obtained by plotting the quadrilaterals on a graph paper and comparing the figures.

<h3>Which conclusion is true about the quadrilaterals?</h3>

Given that,

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vertices of quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4)

(x,y) ; (x, y-8)

ABCD is reflected across the line y=4 to get the quadrilateral EFCD.

Reflection means the size and shape of the quadrilaterals is same ⇒quadrilateral ABCD and quadrilateral EFCD are congruent.

Thus corresponding parts of congruent triangles are equal, corresponding angles will be equal.

Hence the measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).

Learn more about quadrilaterals:

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