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2 years ago

7

The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?

1 answer:

hammer [34]2 years ago

6 0

Answer:

22.6 feet

Step-by-step explanation:

Let x be the length of tree

tan(62) = x/12

x = 12tan(62)

x = 22.56871758

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A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. one plank is painted white and it st

Sliva [168]

The correct option is 9 feet.

The height from the ground the white plank after the motion is 9 feet.

<h3>What is rotational motion?</h3>

Anything that spins or moves in a circular route is said to be in rotational motion. It's also referred to as angular motion and circular motion. The motion can be uniform (— in other words, the velocity v remains constant) and non-uniform, but it must be circular.

Now, according to the question;

The wheel's radius is 4 feet.

The height of a bottom of a wheel from the ground equals 1 foot.

π/3 radians is the angle where the wheel is rolled.

The following relationship describes the height of a revolving wheel.

f(t) = A·sin(B·t + C) + D

Where,

D = Mid line = 4 + 1 = 5 feet

B·t = π/3

C = 0

amplitude; A = 4

Substituting the values in the function;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

f(t) = 9 (approx)

Therefore, the plank's height after the /3π/3 rotation motion = 9 ft.

To know more about the rotational motion, here

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3 0

2 years ago

A single batch of cookies requires two cups of sugar and three cups of flour. if more than one batch or a partial batch was made

inessss [21]

<span>Answer:

62 miles per hour.</span>

8 0

3 years ago

Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data? The his

Zanzabum

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the degree of the polynomial −6x3y2+5x4−7z?

saveliy_v [14]

Answer:

4

Step-by-step explanation:

The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.

Best of Luck!

4 0

2 years ago

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn

vladimir2022 [97]

Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

⇒ Drawing length = 18 cm = 0.18 m

By definition of proportion:

$\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}$

Substitute the given values we have;

$\frac{120}{90}=\frac{0.18}{\text{Drawing width}}$

By cross multiply we have;

$120 \cdot \text{Drawing width} = 90 \cdot 0.18$

Simplify:

$120 \cdot \text{Drawing width} =16.2$

Divide both sides by 120 we get;

$\text{Drawing width} =0.135$ m

Or

$\text{Drawing width} =13.5$ cm

Therefore, the other side of the drawing width is 13.5 cm

3 0

3 years ago