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Blizzard [7]
2 years ago
7

From his eye, which stands 1.59 meters above the ground, Francisco measures the

Mathematics
1 answer:
viva [34]2 years ago
7 0

The height of the skyscraper to the nearest tenth is 234. 95 meters.

<h3>How to determine the height</h3>

From the information given, we have:

  • angle of elevation = 32°
  • length of the base, adjacent side = 376 meters
  • height of the skyscraper, opposite side = x meters

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

Learn more about angle of elevation here:

brainly.com/question/19594654

#SPJ1

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3 years ago
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nataly862011 [7]
The missing justification in the proof is
<span>B) Substitution property of equality

The expression for sin</span>² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.
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3 years ago
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What's 99.1 ×0.16 (must show work)
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99.1
x0.16

6(1)=6
6(9)=54. Put down the 4 and carry the 5.
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You work in reverse, so our last number should be first and our first number last. So the first number is: 5946

Our next row, we put down a 0 and then continue.
1(1)=1
1(9)=9
1(1)=9

Our second number is 9910.

Add the two: 5946+9910=15856

Count the number lf decimal places. In this case, three. Move the decimal 3 places left: 15.856

I always double check using a calculator.

**Sorry the methods it's written out in isn't better, but I can't upload pictures. Hope it helps.
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What is an equation of the line that passes through the points
zubka84 [21]

Answer <u>(assuming it can be in slope-intercept form): </u>

y = x - 5

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1) First, find the slope of the equation. Use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}, and substitute the x and y values of the given points into it. Then, solve:

m = \frac{(2)-(1)}{(7)-(6)} \\m = \frac{2-1}{7-6} \\m = \frac{1}{1} \\m = 1

2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or y-y_1 = m (x-x_1). Substitute m, x_1, and y_1 for real values.

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6 0
3 years ago
Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real n
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