Given: ∆spm, pk⊥ sm sp = 25, sm = 28, pk = 9 find: m∠s, m∠m, pm

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

and

We solve for in the second equation and get:

Now since

Therefore

and

And finally again from the Pythagorean theorem:

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.