Find the equation (in the terms of x) of the line through the points (-2,-5) and (5,0)
1 answer:
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At a particular time, objects and their shadows are proportionate.
Therefore, in figure,
--- (1)
where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.
From the given information,
BC = 36 feet
FD = 4 feet and DE = 3 feet
(1) becomes
AB = 48
Hence, the height of the lighthouse is 48 feet.
Draw or Cut two similar squares with sides units long.
Draw or cut four pairs of similar right triangles with side lengths as indicated in the diagram.
Now arrange the similar triangles at the corners of the squares such that the sides of one similar triangle plus the side
of a second similar triangle coincides with the length of the square.
We do another arrangement of the similar triangles. This time arrange another 4 similar triangles in the opposite corners, such that each pair forms a square.
Now comparing the two different arrangements we got two different areas that are equal.
The area of the uncovered squares in the first arrangement is
The area of the two uncovered squares in the second arrangement is
Equating the two areas gives the Pythagoras Theorem
Note that is the hypotenuse,
and
are two shorter sides of the similar right triangles.
Answer:
1.7507
Step-by-step explanation:
See Image
