If the ratio of the height of a tower and the length of its shadow is `sqrt3:1`, what is the angle of elevation of the Sun?
Let C be the angle of elevation of sun is θ.
Given that: Height of tower is `sqrt3` meters and length of shadow is 1.
Here we have to find angle of elevation of sun.
In a triangle ABC,
`⇒ tanθ =(AB)/(BC)`
`⇒ tan θ=sqrt3/1` ` [∵ tan 60°=sqrt3]`
`⇒ tan θ=sqrt3`
`⇒ θ=60 °`
Hence the angle of elevation of sun is 60°.
Concept: Heights and Distances
Is there an error in this question or solution?
Answer
Thus, the required angle of elevation is ${45^ \circ }$.
Note: The angle made from the point of observation to the object is known as angle of elevation. We can also call this an upward angle from the horizontal line. Also, the student must know the trigonometric ratios, and the values of trigonometric ratios at different angles.
Read More