Find the length of st

Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi

torisob [31]

Andrew can reach a maximum of $24.6ft$ high up the wall.

The right-angled triangle formed can be solved using the $sine$ ratio. that is

$sin(72^\circ})=\dfrac{h}{20}$

where $h$ is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for $h$ , we get

$0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft$

Since Andrew can reach an extra $5ft$ above the point where the ladder rests against the wall, the maximum height Andrew can paint is

$(19.632+5)ft=24.632ft\\\\\approx24.6ft$

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0

3 years ago

The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit

shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is $\mu = 3.5$ and $\sigma = 0.5$ .