Which ordered pair is a solution to the equation 8x

The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to

Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

New height = 120 × tan 40

New height = 100.69 m

Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.

4 0

3 years ago

What is a reasonable customary unit for the capacity of a bottle of water?

Katyanochek1 [597]

A fluid ounce is a customary unit for measuring liquid capacity.

7 0

2 years ago

Read 2 more answers

To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership

sukhopar [10]

Given that:

Membership feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t. So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

$f(t)=100+10t$

So, the required function is $f(t)=100+10t$ .

Now, if the hourly rate were halved. Then,

Hourly rate $= \$ \dfrac{10}{2} = \$ 5$

So, total variable cost is $5t and total cost function is

$g(t)=100+5t$

So, the required function is $g(t)=100+5t$ .

7 0

3 years ago

the measures of two angels are (5x+24) and (9x-17). what is the value of x if these angels are congruets

qaws [65]

You set the expressions equal to each other since they are congruent, then solve.
5x + 24 = 9x - 17
First subtract 24 from both sides to get
5x = 9x - 41
The subtract 9x from both sides to get
-4x = -41
Then divide both sides by -4 to get
x = 41/4 or as a decimal x = 10.25

3 0

4 years ago

What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?

zysi [14]

Answer:

y= -5x + 21

Step-by-step explanation:

The equation of the line that passes through (5, -4) and is perpendicular to line y = 1/5x + 4 is y= -5x + 21

The slope that is perpendicular to the slope 1/5x is -5x.

To find a perpendicular slope, you take the negative reciprocal. (so you change the signs (1/5x is positive so now it would be negative) and -5/1 is basically -5)

However, y = -5x + 4 does NOT pass through (5, -4)

But we still have to write the equation in slope intercept form or the equation of the line

The formula for slope- intercept form is : y= mx + b

So we must plug in (m) which is our -5x and for y we look at the coordinates they gave us ----- (5, -4). -4 is our y. In the coordinates we also have x listed which is 5, so we all plug that in.

y = -5x + b (as you can see -5x is plugged in here)

-4 = -5x + b (as you can see -4 is plugged in here)

4 = -5(5) + b (as you can see 5 is plugged in here)

NOW WE MUST SOLVE!

<h3>Isolate B</h3>

-4 = -25 + b

Add 25 from both sides.

-4 = -25 + b

+25 25

----------------

21 = b

We can now plug this into our slope intercept formula---y= mx+ b---to find the equation of the line.

<h2>Therefore, y = -5 x +21</h2>

4 0

3 years ago

Which ordered pair is a solution to the equation 8x - 2y = 4 ?