Mathematics
Grade9
Easy
Question
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
- 63 ft.
- 65 ft.
- 74 ft.
- 87 ft.
Hint:
tan x° = opposite / adjacent
The correct answer is: 87 ft.
The height of the tree can be estimated using trigonometric ratios. Therefore,
tan x° = opposite / adjacent
tan 44° = h / 90
h = 90 tan 44°
h = 90 × 0.9656887748
h = 86.9119897326
h ≈ 87 ft
Therefore, the height of the tree is estimated as 87 ft.
sin x° = opposite / Hypotenuse
cos x° = adjacent / Hypotenuse
