Given:
Distance from ant to bottom of the wall = 0.5 meter
Angle of inclination = 60 degrees
Let's find the height of the wall, H.
Let's sketch a figure which represents this situation:
Let's find the height, h.
To find the height, h , apply the trigonometric ratio for tangent:
[tex]tan\theta=\frac{opposite}{adjacent}[/tex]Where:
Opposite side is the side opposite the angle = height if wall, H
adjacent side is the side adjacent the angle = 0.5 meters
θ is the angle = 60 degrees
Plug in the values and solve for H:
[tex]\begin{gathered} tan60=\frac{H}{0.5} \\ \\ \text{ Multiply both sides by 0.5} \\ \\ 0.5tan60=\frac{H}{0.5}*0.5 \\ \\ 0.87=H \\ \\ H=0.87\text{ m} \end{gathered}[/tex]Therefore, the height of the wall, H is 0.87 meters.
ANSWER:
0.87 meters
