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PolarNik [594]
3 years ago
10

From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the s

ame point, the angle of elevation to the top of the second building is 10 degrees. Calculate the height of the second building.
Mathematics
1 answer:
meriva3 years ago
4 0
If the top of a 200-m high building has a 20 degree angle of elevation from the bottom of another building, it makes sense that a 10 degree angle of elevation would equal 100m, making the height of the second building 300 m
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borishaifa [10]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2  \qquad 
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\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
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6 0
3 years ago
Item 6 Your city is represented in a coordinate plane where each unit represents 1 kilometer. The library is at (−3, −3), the po
Snezhnost [94]

We know, shortest distance between two points (x_1,y_1) and (x_2,y_2) is :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between house and library is :

d_1=\sqrt{(-5-(-3))^2+(2-(-3))^2}\\\\d_1=5.39\ km

Distance between library and post office :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-3-2)^2+(-3-2)^2}\\\\D=7.07\ km

Distance between post office and house :

D=\sqrt{(2-(-5)^2)+(2-2)^2}\\\\D=7\ km

Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46  km.

Hence, this is the required solution.

8 0
4 years ago
4x+8x+7=4 in quadratic equation
suter [353]

You would have to solve for x by simplifying both sides of the equation, then isolating the variable.

So, x= -1/4

8 0
4 years ago
What is the radius of a circle whose equation is x^2+y^2-10x+6y+18=0
hichkok12 [17]

to find the radius of x^2+y^2-10x+6y+18=0, we must complete the square:



x^2 - 10x + y^2 + 6y = -18


Then:


x^2 - 10x + 5^2 - 5^2 + y^2 + 6y + 9 - 9 = -18


Collecting all three constants on the right-hand side, r^2 = -18 + 25 + 9 = 16


Then r = +sqrt(16) = +4 (answer)



5 0
3 years ago
Write an expression for the total cost, in pounds, of: X jumpers at £15 each and y shirts at £12 each
anastassius [24]
X jumpers at <span>£15 each.    Total = 15*x = </span><span>£15x
</span>
y shirts at £12 each.    Total = 12*y = <span>£12y

Total cost  = </span><span>£15x + </span><span>£12y

Total cost =  </span><span><span>£(15x + 12y)</span></span>
5 0
4 years ago
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