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JulijaS [17]
3 years ago
12

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

s 250 m from its base. Her eye level, where the angle measurement was taken is 1.5 m above the ground. Assuming the ground to be horizontal, find the height of the tree

Mathematics
1 answer:
Reika [66]3 years ago
6 0
See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m.  This suggests using the tangent ratio.

\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

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Simplify the expression (-502) square root 0
Firdavs [7]

Answer:

-502\sqrt 0 = 0

Step-by-step explanation:

Given

-502\sqrt 0

Required

Simplify

-502\sqrt 0

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

\sqrt 0 = 0

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

So:

-502\sqrt 0 = -502 * 0

-502\sqrt 0 = 0

7 0
3 years ago
The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the
masya89 [10]

Here is your answer

Given area is

z^2 + 18z + 81

= z^2 + 2× z × 9 + 9^2

[using (a+b)^2= a^2 + 2ab + b^2], we get

= (z+9)^2

we know that area of a square is represented by side^2.

So, here

Side of square is

z+9

HOPE IT IS USEFUL

7 0
2 years ago
Read 2 more answers
For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has
schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

18+0.06x\geq 102.24

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

18+0.06x-18\geq 102.24-18\\\\0.06x\geq 84.24

Next, we can divide both sides of the inequality by 0.06 so we get:

0.06x/0.06\geq 84.24/0.06\\\\x\geq 1404

so that's where the answer came from. Charly has used an amount of at least 1404 minutes

7 0
3 years ago
The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a
dybincka [34]

Answer:

The equation 35x+93\frac{3}{4} =190 gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation 35x+93\frac{3}{4} =190 finds answer of.

We can see that 35x represents time spent on 35 rehearsals and 93\frac{3}{4} is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

35x+\frac{375}{4} =190

After subtracting 93\frac{3}{4} hours from 190 hours we will get time spent on 35 rehearsals.

35x =190-\frac{375}{4}

35x =\frac{760-375}{4}

35x =\frac{385}{4}

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

x =\frac{96.25}{35}=2.75  

Therefore, equation 35x+93\frac{3}{4} =190 finds average time spent on 35 rehearsals.


7 0
2 years ago
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Multiply.<br><br> 17.22⋅(−2.4)<br><br> Enter your answer in the box.
aleksandrvk [35]

Answer:

-41.328

Step-by-step explanation:

3 0
2 years ago
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