In the figure, ABC is a right-angled triangle. PQ=24cm, PR=45cm and T is a point on QR such that PT丄QR. Find PT.

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Step-by-step explanation:

trigonometry method:

24÷45=0,533333333333

tan(m∠R) = 24/25

then

m∠R = tan⁻¹(0,533333333333)

        =28,072486935838

sin(m∠R) = PT/45

then

PT = 45×sin(28,072486935838)

    =21,176470588225

:)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: