Given:
Given that a bush is sighted on the other side of a canyon.
The width of the canyon is denoted by x.
We need to determine the width of the canyon.
Width of the canyon:
From the figure, it is obvious that it is a similar triangle.
Thus, by property of similar triangle, we have;
[tex]\frac{100}{10}=\frac{x}{7.5}[/tex]
Simplifying, we get;
[tex]10=\frac{x}{7.5}[/tex]
Multiplying both sides of the equation 7.5, we get;
[tex]10 \times 7.5 = x[/tex]
[tex]75=x[/tex]
Thus, the width of the canyon is 75 feet.
