Mathematics, 10.01.2020 02:31 bcox32314

Brains kite is flying above a field at the end of 65 m of string. if the angle elevation to the kite measures 70 degrees and brian is holding the kite 1.2 m off the ground. how high above the ground is the kite flying?

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Answer from: hdhtvthjr

The height above the ground the kite is flying is 62.28 meters

Solution:

Given that Brains kite is flying above a field at the end of 65 m of string

The figure is attached below

ABC is a right angled triangle

Let AB be the height at which the kite is flying above the ground

AB = h = ?

Given that angle elevation to the kite measures 70 degrees

Thus angle C = 70 degrees

Brains kite is flying above a field at the end of 65 m of string

Therefore, AB = 65 meters

We know that,

$sin \theta = \frac{opposite}{hypotenuse}$

Here,

$\theta = 70^{\circ}$

Opposite = AB = h

Hypotenuse = AC = 65 meters

Therefore,

$sin 70 = \frac{h}{65}\\\\0.9397 = \frac{h}{65}\\\\h = 0.9397 \times 65\\\\h = 61.08$

To find the height above the ground we have to add 1.2 m to 61.08

height above the ground = 61.08 + 1.2 = 62.28 meters

Thus the height above the ground the kite is flying is 62.28 meters

Brains kite is flying above a field at the end of 65 m of string. if the angle elevation to the kite

Answer from: Quest

2/1 or just 2. sorry if i get this wrong

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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