Somone !
this is due
use the following picture for this question:
a. find both the exact and approximate value of the blue dotted side (rounded to the nearest tenth).
b. use your approximate answer from part a to find the side length of x. round your answer for x to the nearest tenth.

a. exact value 24√3, approximate value 41.6

b. 52.1

Step-by-step explanation:

a) From right triangle with angle 60°

Blue dotted line is a leg that is opposite to the angle 60°.

tan 60°= opposite leg/adjacent leg= (blue dotted line)/24

tan 60°=  (blue dotted line)/24

(blue dotted line)=24*tan(60°)=24*(√3)=24√3≈41.6

b) From  right triangle with 53° angle

x is hypotenuse

Blue dotted line is a leg that are opposite to the angle 53°.

sin (53°)= opposite leg/ hypotenuse =(blue dotted line)/hypotenuse

sin (53°)= (blue dotted line)/hypotenuse

sin (53°)= 41.6/x

x=41.6/[sin(53°)]≈52.1

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.