Question #faf52
1 Answer
The height of the mast is
One wire is
Explanation:
let the base be
The Sine Rule
The internal angles of a triangle always add up to
Therefore the angle between the wires at the top of the mast, and opposite
let
using the Sin Rule
Simplifying
let
using the Sin Rule
Simplifying
Heron's formula for the area of a triangle
calculate the semi-perimeter
Substitue into Heron's formula
Area =
The area of a triangle can also be calculated as
therefore
in this case
height =