You are standing 41 meters from the base of a building. you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. if the total height of the building is another 124 meters above the 86th floor, what is the approximate height of the building? (round your answers to one decimal place.)

408.6 meters.

Step-by-step explanation:

Let x be the height from the base of the building to the 86th floor,

∵ the total height of the building is another 124 meters above the 86th floor,

So, the total height of the building = ( x + 124 ) meters,

Now, the angle of elevation from the point on the ground to 86th floor = 82°,

Also, the distance from the point to the base of the building = 41 meters,

Thus, by trigonometric ratio,

Hence, the height of the building = ( 284.6 + 124 ) = 408.6 meters.

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "