Page 15 - Dhea Anisah Putri_4193111017_FlipBook

A tree is 100 meters from an observer whose height is 170 cm. If the observer sees the
top of the tree at an angle of 600, determine the height of the tree.

Alternative Solution:
1. Understanding the question

From the problem, the following diagram can be drawn.

From the question it is known that:

Observer distance to tree = 100 m

Observer's height = 170 cm = 1.7 m

Elevation angle = 450
What you're looking for is tree height

2. Choose a solution approach or strategy

The relevant concept of the problem above is trigonometric ratios. Suppose that t =
height of tree – height of observer x = distance of observer to tree

tan 45° =

3. Finishing the model
Using arithmetic operations, we get:

tan 450 =️
t = x tan 450 = 100 . 1 = 100

4. Interpreting solutions
Tree height = t + observer's height = 100 m+ 1.7 m = 101.7 m

So, the height of the tree is 101.7 m

Example 2: