4) The hospital and the fire department are 46 meters apart. From a window in the hospital,
1 answer:
The height of the fire department is 244.72 m
Step-by-step explanation:
A)
Angle of elevation = 73°
The distance between the two buildings = 46 m
tan 73° = b/46
tan 73° = 3.27
tan 73° = b/46
3.27 = b/46
b = 3.27 x 46
b = 150.42 m
B)
Angel of depression= 64°
The distance between the two buildings = 46 m
tan 64° = a/46
tan 64° = 2.05
tan 64° a/46
2.05 = a/46
a = 2.05 x 46
a = 94.3 m
The total height of the fire department building = a + b
= 94.3 + 150.42
= 244.72 m
The height of the fire department is 244.72 m
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