An electric post was broken by a strong typhoon. It formed a right triangle with the ground. If a broken part made an angle of 25⁰with the other part, and the topmost part of the post which was on the ground was 40 ft from the base, how tall was the post?

Guest Mar 29, 2021

#1**+1 **

This makes a right triangle with one leg = 40 ft

we need to find the hypotenuse (the part that broke off)

sin 25 = opposite / hypotenuse

= 40/hyp

hyp = 40 / (sin25) = 94.65 ft

Now you also need the remaining upright piece to add to the broken height for the total height

cos 25 = adj/hyp

cos 25 = adj / 94.65

adj = 85.78 ft

85.78 + 94.65 = **180.43 feet tall originally **

ElectricPavlov Mar 29, 2021