June and Armando are each in a hot air balloon. Armando's balloon is at a slightly higher elevation than June's. The two balloons are 100 ft apart June notices she must look up at an angle of 25° to see Armando in his balloon. How much higher is Armando than June?

46.63 ft

Step-by-step explanation:

I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.

Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.

Also, the height of Armando above June is represented by "x".

Thus, using pythagoras theorem, we can find x.

Thus;

x/100 = tan 25

x = 100 × tan 25

x = 100 × 0.4663

x = 46.63 ft

good luck on your studies! : )

david edward.