A hot air balloon is flying in the sky near a 45-meter high building. The angle of depression of the top and the bottom of the building from the operator are 10

Question

degrees and 22 degrees respectively. Find the horizontal distance between the balloon and the building.

 

thank youu so much in advance geniuss!💓 y'all helped me alot 😊

Answer 1

Hi Bea, 

Take a look at the following graph. I think it will give you the idea.

 

https://www.desmos.com/calculator/joydlmt3nv

 

Use Law of Sines on the green triangle to determine the hypotenuse of the red dotted triangle. Then use trig ratio "cosine" to find the distance to the building.