All categories

3 years ago

Mia is standing 210 yd from a radio tower.

Mathematics

2 answers:

Artyom0805 [142]3 years ago

4 0

height = tan(11) x 210

height = 40.81 yards

rounded to nearest tenth = 40.8 yards

vichka [17]3 years ago

3 0

Solution:

The height of the radio tower is 40.8 yd.

Explanation:

Let us draw a diagram for the given situation. In the attached diagram AB is the radio tower and Mia is standing at point C.

The angle of elevation is 11°. Hence, angle C is 11°.

Let the height of the tower is h.

In triangle ABC, we have

$\tan \theta = \frac{AB}{BC} \\\\\tan 11^{\circ}=\frac{h}{210} \\\\h=210\tan 11^{\circ}\\\\h=40.8$

Therefore, the height of the radio tower is 40.8 yd.

You might be interested in

Which of the following expressions is equal to tan245°?

givi [52]

Answer:

tan65°

Step-by-step explanation:

4 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

Simplify the expression 3+(8+a)

-Dominant- [34]

Answer:

The simplified version of this expression is 11 + a.

Hope this helps!

Brainliest?

4 0

3 years ago

Read 2 more answers

Increased by 130% is 69 ?

Setler [38]

Answer:

Step-by-step explanation:

Do you mean 130% of 69? If so then we multiply 69 by 1.3. The answer is 89.7. If you mean something else, please state your question more clearly and I'll be happy to answer it.

<h2>I'm always happy to help :)</h2>

3 0

3 years ago

I help to answer this problem

Sloan [31]

Answer:

4x+9+x+17=180-29

5x+26=151

5x=125

x=25

6 0

3 years ago