Given the diagram below, what is tan(60°)?
triangle not drawn to scale

Option B.

Step-by-step explanation:

Let

y -----> the opposite side to angle of 60 degrees (or adjacent side to angle of 30 degrees)

x ----> the adjacent side to angle of 60 degrees (or opposite side to angle of 30 degrees)

we know that

The tangent of angle of 60 degrees is equal to divide the opposite side to angle of 60 degrees by the adjacent side to angle of 60 degrees

so

Find the value of y

Remember that

----> adjacent side to angle of 30 degrees by the hypotenuse

so

Find the value of x

Remember that

----> opposite side to angle of 30 degrees by the hypotenuse

so

Find the value of tan(60°)

substitute the values of x and y

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it