Question

What expression gives the height, h, of the triangle?

1) 12tan80
2) 6tan80
3) 6tan40
4) cannot be determined

Answer 1

The expression that gives the height of the triangle is 6tan80 (option 2).

Step-by-step explanation:

The expression that gives the height, h, of the triangle is 6tan80 (option 2).

To find the height of a triangle using trigonometry, we can use the tangent function. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the height of the triangle is the opposite side, and the adjacent side is unknown.

Using the given expression, h = 6tan80, we can calculate the height by multiplying the tangent of 80 degrees by 6.

Therefore, the correct expression is 6tan80.