Answer:
The length of shadow is 69 foot.
Step-by-step explanation:
We are given a shadow of lighthouse.
Length of top of lighthouse to end of shadow is 90 ft.
Angle make at top of lighthouse is 50°
Distance from foot of lighthouse to end of shadow is x ft.
we need to find the length of shadow i,e x ft
Using trigonometry ration:
[tex]\sin\theta=\dfrac{P}{H}[/tex]
[tex]\sin50^\circ=\dfrac{x}{90}[/tex]
[tex]x=90\times 0.766[/tex]
[tex]x=68.94\approx 69\text{ ft}[/tex]
Hence, The length of shadow is 69 foot.
