If a cone is 8.4 cm high and has a vertical angle of 72 degree calculate the diameter of its base.

Guys please help

Cone height = 8.4

Vertical Angle = 72 degrees

Radius = x

Tangent 72 degrees = 8.4 / radius

radius = 8.4 / Tangent 72 degrees

radius = 8.4 / 3.0777

radius = 2.729310849

Source: https://www.1728.org/volcone.htm

Step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

i think it would be 42cm