At the same time of day a cable pole and a yard stick cast shadows of 20 ft. and 4 ft. persfectively as shown in the diargram below. if the angle of elevation of the sun is the same for both the cable pole and the yard stick determine the height od the cable pole.

The ratios of the lengths of the pole and yarstick are the same in relation to their shadows. In other words, the ratio of length/shadow of one equals the ratio of length/shadow of the other. Use X for the height of the pole, and plug in the other three values. Make sure you are using the same size units for all three.

I hope this helps. Thanks for asking.

To find the height of the cable pole, we can set up a proportion using the ratios of the lengths of the pole and yardstick to their respective shadows.

Let's assume the height of the cable pole is represented by 'X'. From the information given, we know that the length of the yardstick is 4 ft and its shadow is also 4 ft. Therefore, the ratio of length to shadow for the yardstick is 4/4 = 1.

Using the same logic, the length of the cable pole is 'X' and its shadow is 20 ft. Therefore, the ratio of length to shadow for the cable pole is X/20.

Since the problem states that the angles of elevation of the sun are the same for both objects, we can equate the two ratios:

1 = X/20

To find the value of 'X', we can cross-multiply and solve for 'X':

1 * 20 = X
20 = X

Therefore, the height of the cable pole is 20 feet.