Question

Geometry Angle of elevation/depression

Answer 1

m∠ACB = 49.88°

Explanation:

From the figure attached,

Measure of wire AC attached to the top 'C' of the building BC = 340 m

Horizontal distance between the base 'B' of the building and point A = 260 m

Angle of depression = ∠ACB

By applying sine rule in the given triangle,

sin(∠ACB) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

=
`(AB)/(BC)`

=
`(260)/(340)`

m∠ACB =
`\text{sin}^(-1)(764706)`

= 49.88°