Answer:
anglePUM = 3° , PM = 5, UM = √75
Step-by-step explanation:
anglePUM = 180 - 60 - 90 = 30° (∠sum of Δ)
cos60 = PM/10
PM = 10cos60 = 5
sin60 = UM/10
UM = 10sin60 = √75
Lateral surface area just means the surface area, but excluding the top and base, so for a pyramid the lateral surface area would just be the surface area of all four triangles.
To find the surface area of the four triangles, you first do base × height = 32 × 24 = 768, and then divide that by 2 which is 384. Now you can just multiply this by 4 and get your answer as 1,536 square centimeters.
I hope this helps!
