# [Solved] Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground.

Verified Answer: Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground.

**Solution: **According to the question, it is given that;

Distance between Caleb and Emily = 100 yards

Let the distance from Caleb to the air balloon be = x

Let the distance from Emily to the air balloon be = y

Let the height of the air balloon be = h

As per the question,

Distance from Caleb to the air balloon + Distance from Emily to the air balloon=100 yards

x + y = 100

⟹x = 100 – y

**Hence, the height of the air balloon is 63.4 yards.**

## Conclusion

**Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. The hot air balloon is 63.4 yards off the ground.**