Question

Is this right? If not someone explain to me why it’s not. :)

Answer 1

x= 14√3

y= 28√3

Explanation:

Please see attached picture for full solution.

(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)

In this case, by Pythagoras's Theorem, you should ensure that:

`{y}^(2) = 42^(2) + {x}^(2)`

✓ Let's check:

`{y}^(2) = (28 √(3) )^(2) \\ y^(2) = 2352 \\ {x}^(2) + {42}^(2) = ( 14√(3))^(2) + 1764 = 2352`

This satisfies Pythagoras' Theorem :)

For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.

Cosine angle= adjacent/ hypotenuse

Sine angle= opposite/ hypotenuse

tangent angle= opposite/ adjacent

Then substitute the known side and angle to find the unknown side.