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DochEvi [55]
3 years ago
8

Explain how to solve the problem below. In your response, you must analyze the given information, discuss a strategy or plan to

solve the problem, determine and justify a solution, and evaluate the reasonableness of the solution.
Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?

< Read Less

Mathematics
2 answers:
FrozenT [24]3 years ago
3 0
Chad would be about 6 feet 1/5 inches
romanna [79]3 years ago
3 0

Answer:  6.07 Feet (Approx)

Step-by-step explanation:

Let the height of Chad is h feet,

Here, the height of shadow = 14.3 feet,

The angle from the top of the head of chad to the end of shadow = 23°

By the below diagram,

\frac{\text{The height of chad}}{\text{The height of shadow}}=tan23^{\circ}

⇒ \frac{h}{14.3} = tan 23^{\circ}

⇒ h = 14.3\times tan23^{\circ}

⇒ h = 6.0699898718\text{ feet}\approx 6.07\text{ Feet}

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Answer:

A metric ton weights more because a kg is equal to about 2.204 lbs.

1000 x 2.204 = 2204 lbs > 2000 lbs

Step-by-step explanation:

Hope this helps! Have a nice day!

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4 0
2 years ago
How do you solve this equation: 18k - 4k = -10 -4k
hammer [34]
18k - 4k = -10 - 4k
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5 0
3 years ago
Read 2 more answers
Which congruence statements are true? Choose all answers that are correct?<br><br> A: B: C: D:
tester [92]

Answer:

Correct choices are A and C

Step-by-step explanation:

Inscribed angles property: The inscribed angles subtended by the same arc are equal.

1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).

2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).

3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.

4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.

4 0
3 years ago
An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet
Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

r = √5

In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

6 0
4 years ago
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