Question

3.
Determine the angle PMA of the lampshade.
15 cm-
25 cm
-25 cm.-
M

Answer 1

∠PMA=55°

Explanation:

see the attached figure with the letter X to better understand the problem

we know that

In the right triangle PXM

PX=LA=25 cm

XM=AM-15/2=25-7.5=17.5 cm

∠PMA=∠PMX

tan(∠PMA)=(PX)/(XM)

tan(∠PMA)=(25)/(17.5)

∠PMA=arctan((25)/(17.5))=55°