A guy wire streches from the top of an antenna tower to a point on level ground 18 feet from the base of the tower

antenna-tower

#1

a guy wire streches from the top of an antenna tower to a point on level ground 18 feet from the base of the tower. The angle between the wire and the grouns id 63 degress. how high is the tower?

Answer:

angle = 63
(Crude i know)
—l
—l–
x–l----
----l-----
----l_____<- 63 degrees
------18 ft
’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’‘opposite
tangent(degree)=--------------
’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’‘adjacent
’’’’’’’’’’’’’’’’’’’’’’’’’’ x
so tan(63)=—
’’’’’’’’’’’’’’’’’’’’’’’’’'18

multiply both sides by 18 for
18tan(63)=x
so
x=35.32

P.S. ascii art is annoying when you cant use more than one space -.-