Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:


h = 14.43.
For an error of 5%, the bounds of h are as follows:


Hence, the angles will be given by:






Hence the angle measurement has to be within 1.2º of 30º.
More can be learned about the slope concept at brainly.com/question/18090623
Distributive. The multiplication is distributed across the addition.
Answer:

So then the best option would be:
a. 1/25
Step-by-step explanation:
For this case we assume that the sample space for the numbers is :
![S_1= [A,B,C,D,E]](https://tex.z-dn.net/?f=%20S_1%3D%20%5BA%2CB%2CC%2CD%2CE%5D)
And the sample space for the numbers is:
![S_2 =[1,2,3,4,5]](https://tex.z-dn.net/?f=%20S_2%20%3D%5B1%2C2%2C3%2C4%2C5%5D)
Both sampling spaces with a size of 5.
We define the following events:
A="We select a 2 from the numbers"
B= "We select a E from the letters"
We can find the individual probabilities for each event like this:


And assuming independence we can find the probability required like this:

The last probability is the probability of obtain obtain a 2 AND an E
So then the best option would be:
a. 1/25