WILL MARK BRAINIEST!

A trigonometry student stands 25 meters from a building and measures the angle of elevation to the top of the building as 30â°.

kozerog [31]

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:

$\tan{30^\circ} = \frac{h}{25}$

$h = 25\tan{30^\circ}$

h = 14.43.

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

$h_{min} = 0.95 \times 14.43 = 13.71$

$h_{max} = 1.05 \times 14.43 = 15.15$

Hence, the angles will be given by:

$\tan^{\alpha} = \frac{13.71}{25}$

$\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}$

$\alpha = 28.8$

$\tan^{\alpha} = \frac{15.15}{25}$

$\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}$

$\alpha = 31.2$

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

5 0

2 years ago

The angle measures associated with which set of ordered pairs share the same reference angle

Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos. Hence these options cannot be for reference angles.

III option is $(-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )$

show that both sign and cos changed sign. This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

SO this option is right.

7 0

3 years ago

Read 2 more answers

I need help wish my Math homework

tatyana61 [14]

Ok so you have $685 plus an extra $85 for the installation. You have a total of $770. You divide this by two to find per year. It is $385 per year. Now divide that by twelve for the monthly cost and you get $32.08

8 0

3 years ago

Tools

const2013 [10]

Answer:just do the math mate

Step-by-step explanation:

6 0

3 years ago

Find the circumference and area of a circle with the diameter AB,<br> A(-8,4) and B(4,-1)

bezimeni [28]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-(-8)]^2+[-1-4]^2}\implies AB=\sqrt{(4+8)^2+(-1-4)^2} \\\\\\ AB=\sqrt{144+25}\implies AB=\sqrt{169}\implies \stackrel{\textit{diameter}}{AB=13}~\hfill \boxed{\stackrel{\textit{radius}}{6.5}} \\\\[-0.35em] ~\dotfill$

$\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad C=2\pi (6.5)\implies C=13\pi \implies C\approx 40.84 \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6.5)^2\implies A=42.25\pi \implies A\approx 132.73$

5 0

3 years ago