Question

help please ...........

Answer 1

Answer:

Step-by-step explanation:

Let the total height of the tower P be x, thus height of PB = x-170.

The glass walkway AB is 58.4m long, and angle BAP is 73.8°.

From pythagoras theorem,

AB²+PB²=AP²

58.4² + (x-170)² = AP²

3410.56 + (x² + 28900 - 340x) = AP²

x² - 340x + 32310.56 = AP² --(1)

Using trigonometric identity,

cosA = 58.4/AP

AP = 58.4/cos(73.8)

AP = 58.4/0.278

AP = 210.07m --(2)

Using this in equation (1) and solving, we get PB=201.78m and

x = 371.78

Thus total building height is 170 + 201.78 = 371.78m.