Question

A support wire is attached to the top of a tower that is 65 feet tall as shown. If the wire makes an angle of 34 degree with the ground, then what is its length to the nearest foot?

Answer 1

Answer:
length of wire = 116 ft

Explanation:
The attached image shows a diagram on the scenario given.

Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find

Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft

Hope this helps :)