A sparrow is flying 12 metres away from a bird box that is on top of a pole. The angle of depression from the sparrow to the base of the pole is 35º. What is the distance between the sparrow and the base of the pole? Give your answer to 2 d.p. Someone pls help
A sparrow is flying 12 metres away from a bird
box that is on top of a pole.
The angle of depression from the sparrow to the
base of the pole is 35º.
What is the distance between the sparrow and
the base of the pole?
Give your answer to 2 d.p.
Someone pls help
Answer:
the distance between the sparrow and the base of the pole is approximately 17.13 meters (to 2 decimal places).
Step-by-step explanation:
Using the trigonometric function tangent (tan), we can set up the following equation:
tan(35º) = opposite/adjacent
tan(35º) = 12/x
To find x, we can rearrange the equation:
x = 12/tan(35º)
Using a calculator, we can find:
x ≈ 12/0.70020753821
x ≈ 17.13 meters
Answer: 17.14 metres
Step-by-step explanation:
12 divided by tan(35) on the calculator which gives you 17.13777608. to 2 d.p = 17.14 metres.
If you still do not understand this topic I suggest watching this video below:
https://youtu.be/3H28-wzsF3s
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