Question

guddi was standing on a road near a mall. she was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. the tree height is 10m and it is 20m away from guddi. how tall is the mall?

Answer 1

Guddi can use similar triangles and the tangent function to determine the height of the mall. By finding the angles formed by Guddi's line of sight with the tree and the mall, she can calculate the height using trigonometric ratios.

Step-by-step explanation:

In this question, we can use similar triangles to determine the height of the mall. Let's consider the triangle formed by Guddi, the tree, and the mall. The height of the tree (10m) is the opposite side, and the distance between Guddi and the tree (20m) is the adjacent side. We can use the tangent function to find the angle between Guddi's line of sight and the ground. tan(θ) = opposite/adjacent, so tan(θ) = 10/20 = 0.5. Now, we can use this angle along with the distance between Guddi and the mall (1000m) to find the height of the mall.

Using the tangent function again, we have tan(θ) = opposite/adjacent, where θ is the angle between Guddi's line of sight and the ground. Rearranging the equation, we have opposite = tan(θ) * adjacent. Substituting the values, we get opposite = 0.5 * 1000 = 500m. Therefore, the height of the mall is 500m.

Learn more about Similar triangles and trigonometry