Final answer:
To find the height of the flagpole, use the tangent function with the given angle of elevation and the length of shadow. The height of the flagpole is approximately 24.9 feet.
Step-by-step explanation:
To find the height of the flagpole, we can use the concept of trigonometry. Let's consider a right triangle formed by the flagpole, its shadow, and the direction of the sun's rays. The angle of elevation of the sun is given as 28 degrees. The length of the shadow is given as 50 feet.
Using the tangent function, we can set up the equation: tan(28 degrees) = height of flagpole / length of shadow. Solving for the height of the flagpole, we have: height of flagpole = tan(28 degrees) * length of shadow.
Substituting the given values, height of flagpole = tan(28 degrees) * 50 feet. Calculating this, the height of the flagpole to the nearest tenth is approximately 24.9 feet.