Question

a cone has a base of radius 15 cm and vertical height 25 cm. what angle does the sloping edge of the cone make with the base? give your answer in degrees correct to 3 significant figures.

Answer 1

see diagram

we apply the pythagorean theorem

(AB) perpendicular to (BC) because AB is the height

we’re looking for angle C

tanC=AB/BC=25/15=5/3

angle C approx 59.036243...=59.036°

Explanation: