Two points on a level ground are 500m apart. The angles of elevation from these points to the top a tower are 40° and 60° respectively. If the two points and the base of the tower are in the same vertical plane, find the height of the tower.

Question

Two points on a level ground are 500m apart. The angles of elevation from these points to the top a tower are 40° and 60° respectively. If the two points and the base of the tower are in the same vertical plane, find the height of the tower.

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T09:13:17.990Z

Here are the solutions to the problems: 1) Question 1: If $\frac{x}{y} = \frac{1}{2}$, then $\frac{x+y}{x-y}$ is equal to Options: A. $\frac{1}{3}$ B. $3$ C. $\frac{1}{2}$ D. $1$ Step 1: From the given ratio $\frac{x}{y} = \frac{1}{2}$, we can express $y$ in terms of $x$: $$ y = 2x $$ Step 2: Substitute $y = 2x$ into the expression $\frac{x+y}{x-y}$: $$ \frac{x+y}{x-y} =

Accepted Answer · 2026-03-26T09:13:17.990Z

Here are the solutions to the problems: 1) Question 1: If $\frac{x}{y} = \frac{1}{2}$, then $\frac{x+y}{x-y}$ is equal to Options: A. $\frac{1}{3}$ B. $3$ C. $\frac{1}{2}$ D. $1$ Step 1: From the given ratio $\frac{x}{y} = \frac{1}{2}$, we can express $y$ in terms of $x$: $$ y = 2x $$ Step 2: Substitute $y = 2x$ into the expression $\frac{x+y}{x-y}$: $$ \frac{x+y}{x-y} =