A man standing 24 feet from a flagpole observes the angle of elevation of its top to be 38°. Find the height of the flagpole to the nearest tenth.

the height of the flagpole is 21 ft

Normal distribution.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

In this question:

Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.