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2 years ago

HELP IM CONFUSED I WASNT AT SCHOOL

Mathematics

1 answer:

artcher [175]2 years ago

3 0

For the first one the distance is 47

For the second one the distance is 6

Correct me if I’m wrong

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

I have tried multiple times to do this many different ways and I have not gotten the correct answer. #9

hodyreva [135]

It's $1.18^{10}$ which gives 5.23 times increase in 10 years, so 523% of oryginal price

5 0

3 years ago

How can Sue use the converse of the Pythagorean Theorem to find out if a triangle with side lengths 28, 53, and 45 is a right tr

timama [110]

Answer:

Step-by-step explanation:

28²+45²=53²

8 0

2 years ago

The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the li

labwork [276]

Answer:

150.08 inches

Step-by-step explanation:

The question simply requires that we find the length of the arc that the dog walks.

Its leash rotates through 150° and the length of the leash (radius) is 60 inches.

The length of an arc is given as:

L = α/360 * 2πR

where α = angle of arc

R =radius

Therefore:

L = 150/360 * 2 * π * 60

L = 150.08 inches

The dog walks 150.08 inches

5 0

2 years ago

I just really need help with these 3 questions.

Oksanka [162]

For the 11 the first one is x = 4y and for the 2 one it will be x=−6−2y

8 0

3 years ago