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Q alarm post 5 root 3 m high cast the shadow 5 m long on the ground the sun television at this moment is?
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Q alarm post 5 root 3 m high cast the shadow 5 m long on the ground th...
Understanding the Problem
To determine the angle of elevation of the sun, we can use the relationship between the height of the object and the length of its shadow. In this case, we have:
- Height of the pole = 5√3 m
- Length of the shadow = 5 m
Using Trigonometry
We can visualize the scenario as a right-angled triangle where:
- The height of the pole is the opposite side.
- The length of the shadow is the adjacent side.
Calculating the Angle of Elevation
We will use the tangent function, which is defined as:
- tan(θ) = opposite / adjacent
Plugging in the values:
- tan(θ) = (5√3) / 5
- tan(θ) = √3
Finding the Angle
The angle whose tangent is √3 is:
- θ = 60 degrees
Conclusion
Thus, the angle of elevation of the sun at this moment is:
- 60 degrees
This concludes that when the height of the pole is 5√3 m and it casts a shadow of 5 m, the sun's elevation creates an angle of 60 degrees with the ground.
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Q alarm post 5 root 3 m high cast the shadow 5 m long on the ground the sun television at this moment is?
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