Question

3. Marie planted a tree a few years ago and wanted to see how much it had grown. Marie

measures the angle from a point A to the top of the tree to be 34 degrees. She measures her
distance to be 8 meters from the base of the tree. How high is the tree to the nearest tenth of a
meter?

Answer 1

• 5.4 m

Explanation:

Given

• The top of the tree, the point A and the base form a right triangle
• Horizontal leg = 8 m
• Vertical leg = the height of the tree = x
• Angle A = 34° is opposite to the three

Use the ratio to find the value of x:

• opposite / adjacent = tan A
• x/8 = tan 34°
• x = 8 tan 34 degree
• x = 5.4 m (rounded)