Question

If the sin of angle x is 4/5 and the triangle was dilated to be two times big as the original, what would be the value of the dime of x for the dilated triangle?

Answer 1

Given :

Sin x = 4/5

Using the rule of SOH CAH TOA,

we know that,

Sin x = opposite/Hypotenuse

So,

When the triangle is dilated, the opposite side will be dilated to 8 and the Hypotenuse will be dilated to to 10.

which means 4/5 will become 8/10

and hence,

8/10 after simplifying will be 4/5.Thus there is no change.

Hope this helped!

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