Lisa spots a mother bird on a branch above the nest in the diagram. She measures an angle of elevation to the bird (the small oval on the diagram) of 67º. Find how high the mother bird is above the ground. Round to the nearest foot. (Hint: Draw and label the new triangle with the mother bird at the top, before solving the problem.)
Your new triangle still has a base of 15'.
The angle in the lower left corner is not 67°.
To find the height, you need to find the value of the opposite side from the known angle.
The base is the adjacent side to the known angle.
You know the adjacent and you want to know the opposite.
tan = opp / adj ---> tan(67) = x / 15 ---> x = 15 · tan(67)
Your new triangle still has a base of 15'.
The angle in the lower left corner is not 67°.
To find the height, you need to find the value of the opposite side from the known angle.
The base is the adjacent side to the known angle.
You know the adjacent and you want to know the opposite.
tan = opp / adj ---> tan(67) = x / 15 ---> x = 15 · tan(67)