MAKING TRIANGLE WITH AB=6CM m angle A =90degrees, m angle B45degrees , what is AC

The table below shows the quantities of onions consumed

Grace [21]

Answer:

The graph is attached

Step-by-step explanation:

Th table that shows the quantities of onions consumed (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

Plot the points $(1,1),(2,2),(3,3),(4,4),(5,5)$ on the graph.

(see the attached file)

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2 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.