Possible lengths of the shadow are 6√3 in and 2√3 in
Step-by-step explanation:
- Step 1: The stick is placed in the ground and so makes a right angle with the ground. To find the shadow, use the trigonometric ratios using the angles 30° and 60° along with opposite side of length 6 in.
- Step 2: Find the length of the shadow, which is the length of the adjacent side.
tan A = opposite side/adjacent side
For A = 30° ⇒ tan 30 = 6/adj side
⇒ Adjacent side = 6/tan 30 = 6 ÷ 1/√3 = 6√3 in
For A = 60° ⇒ tan 60 = 6/adj side
⇒ Adjacent side = 6/tan 60 = 6/√3 = 2√3 in
