Question

A guy wire 1000 feet long is attached to the top of a tower. When pulled taut it makes a 42˚ angle with the ground. How tall is the tower? How far away from the base of the tower does the wire hit the ground?

Answer 1

669.1 ft and 743.1 ft

Step-by-step explanation:

Given data

Lenght of wire= = 1000ft

Angle = 42˚

Applying SOH CAH TOA

1. How tall is the tower?

SOH

sine ∅= opp/hyp

sin 42= opp/1000

0.6691= Opp/1000

0.6691*1000= Opp

Opp=669.1 ft

Applying SOH CAH TOA

2.How far away from the base of the tower does the wire hit the ground?

CAH

cos ∅= adj/hyp

cos 42= adj/1000

0.7431*1000=adj

adj=743.1 ft