Answer:
[tex]45.58^{\circ}[/tex]
Step-by-step explanation:
Please find the attachment.
We have been given that a 50 m vertical tower is braced with a 70 m long cable secured at the top of the tower.
We can see that the cable and tower form a right triangle with respect to ground.
To solve for x, we will use sine as tangent relates opposite side of a right triangle to its hypotenuse.
[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}(x)=\frac{50}{70}[/tex]
[tex]x=\text{sin}^{-1}(\frac{5}{7})[/tex]
[tex]x=45.58469^{\circ}[/tex]
[tex]x\approx 45.58^{\circ}[/tex]
Therefore, the angle of depression, from the top of the tower to point on the ground where the cable is tied, would be 45.58 degrees.
