Answer :
Final answer:
Using trigonometry and the tangent function with the given angle of 10 degrees and height of 300m, the distance to the object is calculated to be approximately 1710m, which is not an option provided in the question.
Explanation:
To find the distance between the observer and an object viewed from a height of 300m with an angle of elevation of 10 degrees, we apply basic trigonometry. Specifically, we use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle. In this case, the opposite side is the height from which the observer is viewing (300m) and the adjacent side is the distance to the object.
Using the formula tan(θ) = opposite/adjacent, we can rearrange to find the adjacent side (distance): adjacent = opposite/tan(θ). Plugging in our values we get adjacent = 300m / tan(10 degrees). Calculating this gives us a distance of approximately 1710m. None of the given answers match this exact value, but since we need a precise answer and none of the options in the question are correct, it is possible that there is an error in the options provided.
