A man of 22 meters height, observes the top of the pole of 30 meters height situated in front of
him and finds the angle of elevation to be 30°.
The man far from the pole is :
a. 45.5m
b. 46.2m
47.5m
d. 48.5 m

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.