A bush is sighted on the other side of a canyon. Find the width of the canyon

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;

Simplifying, we get;

Multiplying both sides of the equation 7.5, we get;

Thus, the width of the canyon is 75 feet.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

4+4+2x

or

2x+8

step-by-step explanation: