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Ivan
2 years ago
5

A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to

the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
Mathematics
1 answer:
frozen [14]2 years ago
8 0

Answer:

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

8.038 + 0.28728 h = h

h = 11.28m

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18s -17s+1=20 solve for s
liubo4ka [24]

Answer:

s=19

Step-by-step explanation:

18s-17s+1=20

s+1=20

s=20-1

s=19

6 0
3 years ago
Read 2 more answers
Given the point (3,4) the slope of 6, find y, when x=27
vitfil [10]

Answer:

y = 148

Step-by-step explanation:

First, we use the point-slope form of the equation of a line to find the equation of this line.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

Now we let x = 27 and find y.

y = 6(27) - 14

y = 162 - 14

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6 0
3 years ago
An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

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8 0
3 years ago
What is the difference 1/9 - 5/6 a 13/18 b 1/18 c - 1/18 d -13/18
Murrr4er [49]
1/9 - 5/6

Convert both of them into denominators of 18.

2/18 - 15/18

Subtract the numerators and keep the denominator:

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3 0
3 years ago
help with number 2 please i have no idea how to do this. it would be very helpful if you can show the steps
zloy xaker [14]
So in this case, we have to replace the known value.
y=3
y=-2x+3

3=-2x+3

Then we leave our unknown value alone.
\frac{3-3}{2}= x

In this case, our x value would be 0.

We check it...
3=-2(0)+3
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So y=3 x=0

For the second one we have...
y=3x+2
y=-3x-4

For this we substitute the y in any of the equation...
3x+2=-3x-4

We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2

Then we solve
6x=-6

Then we leave the unknown value alone.
x=\frac{-6}{6}

Then solve for x.
x= -1

Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1

y=-3x-4
y=-3(-1)-4
y=3-4
y=-1

So in this case we got that x= -1 and y= -1
4 0
3 years ago
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