Find the measure of angle A (*find the value of x first!):

A = 90º

x = 22.5º

Step-by-step explanation:

So, because sides AC and AB are equal, angles C and B are equal- that means that angle B is also 2x. So for our whole triangle, 2x + 2x + 4x = 180º (all triangles internal angles add up to 180º).

From there, we can simply solve for x:

8x = 180º

x = 22.5

And now we can solve for angle A, which is 4xº. When we substitute it is:

4 (22.5)

A = 90º

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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