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
Answer:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2