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alekssr [168]
3 years ago
12

a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the perso

n is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?​
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal <em>x</em>. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

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Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali gan
vagabundo [1.1K]

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

<em>x</em> = Amin's score in math

<em>y</em> = Azman's score in math

<em>z</em> = Aziz's score in math.

The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.

That is:

\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219

Now it is provided that:

y=x+35...(i)\\z=2x...(ii)

Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:

x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46

Thus, the Amin's score in math was 46.

6 0
3 years ago
Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.
Sergeu [11.5K]

Answer: <u>3.7</u>

Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.

3 0
3 years ago
whole milk is 4% butterfat how much skim milk with 0% butterfat should be added to 32 ounces of whole milk to obtain a mixture t
vivado [14]

Answer:

whole milk 4 ---------------- 32 ounces

skim milk 0 ---------------- x ounces

Mixture 2.5 ---------------- 32 + x ounces

 

4*32+0x =2.5(32 +x)

128+0x= 80+2.5 x

0 x + -2.5 x = 80 - -128

-2.5 x = -48

/ -2.5

x = 19.2

19.2 ounces of 0 % fat skim milk

4 0
3 years ago
Evaluate each using the values given.<br><br> m-((-3) + p)-q; use m= 10, p=-6, and q = 10
Keith_Richards [23]

Answer:

9

Step-by-step explanation:

10-((-3) + -6)-10

10-(-9)-10

10+9-10

9

4 0
3 years ago
If f(x)=ln x and g(x)=e^x+1 find f(g(2))-g(f(e)) please help!!
Readme [11.4K]

Answer:

<h3>ln (e^2 + 1) - (e+ 1)</h3>

Step-by-step explanation:

Given f(x) = ln and g(x) = e^x + 1 to get  f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).

For f(g(x));

f(g(x)) = f(e^x + 1)

substitute x for e^x + 1 in f(x)

f(g(x)) = ln (e^x + 1)

f(g(2)) = ln (e^2 + 1)

For g(f(x));

g(f(x)) = g(ln x)

substitute x for ln x in g(x)

g(f(x)) =  e^lnx + 1

g(f(x)) = x+1

g(f(e)) = e+1

f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)

5 0
3 years ago
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