Aman standing on a sidewalk looks up at the roof edge of a building. the building is 40 feet tall and the man stands 12 feet from the building. what is the measure of the man's angle of inclination from where he stands? enter your answer, rounded to the nearest degree, in the box. someone has posted with the answer being 73.3 and someone else put 72.28 but the correct one is 73 just took the test and in case you need the answer. the answer is 73

73 degrees.

Step-by-step explanation:

1. You can draw a righ triangle as you can see in the figure attached.

2. To calculate man's angle of inclination from where he stands, you must apply the proccedure shown below:

Where:

α is the angle of inclination.

3. When you substitute values, you obtain the following result:

°

4. Rounded to the nearest degree:

°

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584