Asearchlight is 210 ft from a straight wall. as the beam moves along the wall, the angle between the beam and the perpendicular to the wall is increasing at the rate of 2.0 degrees divided by s. how fast is the length of the beam increasing when it is 290 ft long?

The length of the beam increasing is 9.64 ft/s.

Explanation:

Given that,

Height = 210 ft

Distance =290 ft

According to figure,

We need to calculate the angle

....(I)

Put the value of x in the equation

Now,

On differentiate of equation (I)

Put the value in the equation

Hence, The length of the beam increasing is 9.64 ft/s.

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg