Please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss

The Value of .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

Substituting the given values we get;

Now we know that;

So we can say that;

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Substituting the given values we get;

Now we know that;

So substituting the values we get;

By Using Cross Multiplication we get;

Hence The Value of .