In pyramid ABCP, point M is the midpoint of BC . The segment PM is perpendicular to the plane of the base and PM = 9 cm. The radius of the circle circumscribed around ∆ABC is 24 cm and m∠CAB = 30°. Find the length of edge PB .

The length of edge PB is 15 cm

Step-by-step explanation:

step 1

In the triangle BOC

Find the measure of angle BOC

see the attached figure to better understand the problem

we have that

m∠CAB = 30° -----> is a inscribed angle

so

solve for arc BC

substitute the given value

Remember that

-----> by central angle

so

step 2

Find the length side BC

we have that

----> the radius of the circle

so

That means

Triangle BOC is an equilateral triangle (the measure of the interior angles is equal to 60 degrees)

therefore

M is the midpoint side BC

so

step 3

Find the length of edge PB

Applying the Pythagorean Theorem

we have

substitute

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

a and c

step-by-step explanation: