Question

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

Answer 1

Answer:

x= 14√3

y= 28√3

Step-by-step 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:

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

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.