A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 5 minutes later

At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

Step-by-step explanation:

We are given A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km  

Refer the attached figure

x=15

We will use cosine law

z=155.96 km

Differentiating  1 w.r.t t

Hence  At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: