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3 years ago

7

from a point 48 feet from the base of a redwood tree, the angle of elevation to the top of the tree is 56.3°. Find the height of

the trre to the nearest foot.

1 answer:

Oksanka [162]3 years ago

7 0

tangent(angle) = Opposite Leg ( Height) / Adjacent Leg ( base)

Tangent(56.3) = Opposite Leg / 48 feet

Opposite Leg = 48 x tangent(56.3) = 71.97

Height = 72 feet ( rounded to the nearest foot).

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What is the value of x in the equation. 8 x - 2 y= 48 when y =4

goldfiish [28.3K]

$\qquad$ ❄️ $\boxed{\bf x = 7}\\\\$

We are given –

$\qquad$ $\twoheadrightarrow\bf 8x -2 y =48$

And also value of y's given. So, just put the value of y in the given equation.

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$\qquad$ $\purple{\twoheadrightarrow\bf 8x -2 y =48}$

$\qquad$ $\twoheadrightarrow\sf 8x - \underbrace{2 \times 4} =48$

$\qquad$ $\twoheadrightarrow\sf 8x - 8 =48$

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2 years ago

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denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

$x-y=16$ or $x=16+y$ .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

$\frac{1x}{8}+\frac{1y}{2}=52$ ... (2)

Putting the value of x=16+y in equation (2)

$\frac{16+y}{8}+\frac{y}{2}=52$

$\frac{16+y+4y}{8}=52$

$\frac{16+5y}{8}=52$

$16+5y=416$

$5y=400$

$y=80$

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.

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3 years ago