3 years ago

How do we measure the height of mountain? Grade 6

Mathematics

1 answer:

sammy [17]3 years ago

6 0

Answer:

measure the distance between two points on the ground and then measure angles between the top

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Reference attached image for the problem.Please show your work for finding the partial area.

-Dominant- [34]

To find the area of a sector of a circle use the next formula:

$A=\frac{\theta}{360º}*\pi *r^2$

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

$\theta=360º-90º=270º$

Find the area of the sector with angle 270º:

$\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\ \\ A=0.75*3.14*121in^2 \\ \\ A=284.955in^2 \end{gathered}$ Then, the approximate area of the given sector of a circle is 284.955 square inches