Question

the tallest flagpole in the world was built in San Francisco in 1915. When the angle of elevation to the sun is 55 degrees, the length of the shadow cast by this flagpole is 210 feet. find the height of the flagpole.

Answer 1

To find the height of the flagpole, we can use trigonometry and the given information. Using the tangent function, we can calculate the height of the flagpole as approximately 273.39 feet.

Step-by-step explanation:

To find the height of the flagpole, we can use trigonometry. Let's assume the height of the flagpole is represented by 'h'. When the angle of elevation to the sun is 55 degrees, the length of the shadow cast by the flagpole is 210 feet. We can use the tangent function to find the height:

tan(55) = h/210

Applying the tangent function, we get:

h = 210*tan(55)

Using a calculator, we find that h is approximately 273.39 feet.

Therefore, the height of the flagpole is approximately 273.39 feet.