In principle, shadows can move faster than the speed of light. When a shadow is bigger than the object casting it, it moves at a greater distance but in the same amount of time. If the shadow is large enough, it could move across the surface faster than light.

x = the length of the woman’s shadow. s = the distance from the pole to the woman. By similar triangles, H/h = (s + x)/x or Hx = h(s + x). dx/dt = 36/13 ft/sec = 2.77 ft/sec for how fast her shadow is lengthening.

We’ve determined the instantaneous rate of change in the position of the shadow, which is -160 ft/sec, but that figure changes dramatically as the bird moves closer to the ground (and the mouse).

Rewrite the following formula with the numerical equivalents: Object Height / tan θ = Shadow Length. For example, for the 790-foot high Prudential Tower in Boston, the formula would be 790 / 2.89 = Shadow Length. Calculate the formula to determine the shadow length.

Find the rate of change of the area of a circle per second with respect to its radius when radius=5cm. But the answer is 10π cm2/sec.

To solve for area, square the radius (radius times radius) then multiply by 3.14.

We know the rate at which our area is changing – 6 cm2/s – and that’s our dA/dt. So our radius is changing at a rate of 1/π cm/s.

Example 2.1. The radius of a circle is increasing at a rate of 3 cm/sec.

The rate of change of the radius dr/dt = . 75 in/min because the radius is increasing with respect to time.

change in acceleration

Find the map’s scale, extend your compass to cover 5km, stick the pin in your home address and give that bad boy a 360 degree twirl. That’s your radius. Have fun, and stay safe.

Instructions

1. Type in a radius required in the Radius Distance text box above.
2. [Zoom and Pan to find the required area on the map then click on the map to draw a circle] OR [Type a location into the text box and click Draw Radius] OR [Input the latitude and longitude of the location in decimal format].

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3 Answers

1. Open measuring tool (ruler icon on toolbar, or Tools menu > Ruler)
2. In Ruler window, select the “Circle” tab.
3. Select the units you want to measure the radius in (eg: Kilometers)
4. Click (click, don’t drag) on the map at the center point of your circle (eg: Vancouver)

Start your search by entering an address and then clicking search. This will find the most relevant businesses, and attractions within the radius provided and show the top 20 of them on a google map. You can change the radius of the search to find businesses farther or closer to the address you enter.

Touch and hold anywhere on the map. You’ll see a red pin appear. At the bottom, tap the name of the place. On the place’s page, scroll down and choose Measure distance.