All categories

3 years ago

The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Mathematics

1 answer:

amm18123 years ago

7 0

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

$\tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m$

You might be interested in

Options... 1.<F 2.<MFE 3.EFD Plz answer

hoa [83]

Answer:

Angle F, or 1; see below

Step-by-step explanation:

When two triangles are congruent, everything about them is equal. Angle C is congruent F because they are in the same position on the triangle.

3 0

3 years ago

An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n

kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 232 V

Sample mean, $\bar{x}$ = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 232\\H_A: \mu \neq 232$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971$

Since,

$|t_{stat}| > |t_{critical}|$

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

4 0

3 years ago

Question 1 If the diameter of a circle is 5 meters, what is the circle's radius, in meters?

olga_2 [115]

Answer:

2.5

Step-by-step explanation:

The radius is half of the diameter. 5 / 2 = 2.5

3 0

2 years ago

Read 2 more answers

Is the relation a function? If so why or why not? {(-3,2),(-1,0),(1,0),(5,-2)}

Anastasy [175]

Answer:

It's a function

Step-by-step explanation:

Functions can only have one output for each input. And since all the x values for each point are different, there is only one output (y-value) for each input(x-value).

8 0

3 years ago

mr. Nelson sold 147 bags of popcorn in 216 bottles of water in three days at this rate how many more bottles of water in a box o

Nadya [2.5K]

216/3=72, 72•5=360
147/3=49, 49•5=245
360-245=115
115 more bottles of water

7 0

3 years ago

Read 2 more answers