Question 1181498

Direction:
1. Read carefully the problems given below.

2. Analyze the suggested solutions and find out what is wrong with them.

3. Write your solutions.

4. Write an explanation why your solution is correct. 

Problem #1. An airplane is flying at constant altitude of 100 m above the ground. At that instant, it was recorded that the angle of depression of the airport is 40°. Find the horizontal distance between the airplane and the airport.


2. Analyze the suggested solutions and find out what is wrong with them.

there are no suggested solutions here

3. Write your solutions.

if the angle of depression of the airport is {{{40}}}°,altitude {{{100m}}} and  the horizontal distance between the airplane and the airport {{{x}}}

then


{{{tan( 40)=100m/x}}}


{{{x = 100m / tan( 40)}}}

{{{x = 100m / 0.83909963117728}}}

{{{x = 119.18m}}}