<span>In the problem, we were asked to find the distance from the base towards the island. First, we need to calculate for theta. So, 90-50 = 40° Remember mnemonics, SOH CAH TOA. Since given is the angle and the altitude, we are going to use the tangent function. tan40° = d/500 = 419.54 or approximately 420 feet. The island is 420 feet away from the location underneath the helicopter.</span>
The houses form a right triangle. Using a²+b²=c² you will find that the distance from Clayton’s house to Danny’s would be 4.1 miles. Adding it all up, the distance would be 9.1 miles of walking.
