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lapo4ka [179]
3 years ago
15

An engineer is surveying a building with a device that is 5 feet above the ground. He is 50 feet from the building and is lookin

g with an angle of elevation of 50°. How tall is the building?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
1. Check the sketch of the problem.

2. In right triangle DCE,

 tan50= \frac{EC}{DC}= \frac{x}{50}

tan 50 can be found to be 1.19 using a scientific calculator or other software.

1.19=\frac{x}{50}

x=1.19*50=59.5 (feet)

3. The height of the building is 59.5+5=64.5 (feet)

Answer: 64.5 (feet)

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Cardi B

Step-by-step explanation:

It is decreasing in the time interval 0 < x < 2 hours.

7 0
2 years ago
Pat created a scatter plot and drew a line of best fit, as shown.
Hunter-Best [27]
<h3>Answer:  Choice D</h3><h3>y = (-1/5)x + 7</h3>

======================================

Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (10,5) and (15,4)

Let (x1,y1) = (10,5) and (x2,y2) = (15,4)

Find the slope of the line through (x1,y1) = (10,5) and (x2,y2) = (15,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(15 - 10)

m = -1/5

m = -0.2

Plug m = -0.2, and  (x1,y1) = (10,5) into the point slope formula. Solve for y

y - y1 = m(x - x1)

y - 5 = -0.2(x - 10)

y - 5 = -0.2*x - 0.2*(-10) ... distribute

y - 5 = -0.2*x + 2

y - 5+5 = -0.2*x + 2 + 5 ... add 5 to both sides

y = -0.2*x + 7

y = (-1/5)*x + 7 .... convert -0.2 to -1/5

The equation y = (-1/5)x + 7 is in the form y = mx+b with m = -1/5 = -0.2 as the slope and b = 7 as the y intercept. The y intercept is where the graph crosses the vertical y axis. More specifically, the location of the y intercept in this case is at the point (0,7).

4 0
3 years ago
Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)
slega [8]

Answer:

  C)  19.5 square units

Step-by-step explanation:

The area from coordinates can be computed as ...

  A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  = (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|

  = (1/2)|-39| = 39/2 = 19.5

The area of the triangle is 19.5 square units.

4 0
3 years ago
Read 2 more answers
I need help with this
miv72 [106K]

Answer:

y = -x + 3

Step-by-step explanation:

8 0
3 years ago
10.1 and 10.15 witch one is greater
RUDIKE [14]

Answer:

10.15

Step-by-step explanation:

Subtract:

10.15 - 10.1 = 0.05

10.15 is greater than 10.1 by 0.05

~

6 0
3 years ago
Read 2 more answers
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