From a hot air balloon 2 km high, a person looks east and sees one town with angle of depression of 16 degrees. He then looks w

Question

LekaFEV [45]

3 years ago

5

From a hot air balloon 2 km high, a person looks east and sees one town with angle of depression of 16 degrees. He then looks w

est to see another town with angle of depression of 84 degrees. What is the distance between the two towns?

Physics

1 answer:

Dafna1 [17] · Answer 1 · 2022-02-09T11:08:08+03:00

Answer:

7km

Explanation:

The angle of depression is congruent to the angle of elevation and can be explained as angle below horizontal in which the person observing an object must view for him/her to view object's that are lower than him/her.

In angle of depression, there is assumption that object is closer to the person observing it, so there is parallel horizontal for both observing and object been observed.

hot air balloon 2 km high,

there exist two triangles

From trigonometry

Tanx= opposite/adjacent

Opp= 2km

Adj= X1

first triangle have base length of

Tan(16)=2/X1

X1=2/ tan(16)

X1=6.97

For Second triangle

Tanx= opposite/adjacent