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tensa zangetsu [6.8K]
3 years ago
13

The angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the

height of the tower.
​
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

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<em><u>The least amount of money you would need to invest per month is; $335</u></em>

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  • Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

  • We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

  • Thus, amount to be saved monthly = 40000/12 = $333.33
  • Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

  • Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

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Step-by-step explanation:

The differences between the x-values and the y-values are

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2) -4 & 0 = 4

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4) 10 & 0 = -10

Since the question asks which must be A factor of p(x) or the y-value, I would advise to look for the answer that helps you receive one of the differences shown above. That said, I would go with <em>x - 10.</em>

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Step-by-step explanation:

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Now the radius is:

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Then, to compare the capacities, we can divide this new capacity by the original:

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Therefore,  the container's capacity would be 8 times its original capacity.

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