A guy wire 1000 feet long is attached to the top of a tower. when pulled taut it makes a 43◦ angle with the ground. how tall is the tower? how far away from the base of the tower does the wire hit the ground?

Respuesta :

When you draw your right triangle: 
hypotenuse = wire length = 1000ft
The vertical building = length x 
The horizontal distance from building base to wire bottom = y 

Building Height: 
Sine function: sin 43 = opposite/hypotenuse = x/1000
x = 1000 sin 43 
x = 682 ft 

Distance from tower base to wire: 
Cosine function: cos 43 = adjacent/hypotenuse = y=1000
y = 1000 cos 43 
y = 731.35 ft

I hope this helps!