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mart [117]
3 years ago
9

CAN ANYONE SOVE THIS EASY INDIAN MATHS QUESTION...The angle of elevation of a cloud from a point 60m above a lake is 30" and the

angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.​
Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

Answer:

  • 80 m

Step-by-step explanation:

The described points form two right triangles which share same horizontal leg a.

The bottom triangle has 60 m vertical length and 60° opposite angle.

The triangle on the top has unknown (x) vertical length and 30° opposite angle.

We are looking for the distance x + 60 m

<u>On the top triangle we have:</u>

  • tan 30° = x/a ⇒ a = tan 30° / x

<u>On the bottom triangle we have:</u>

  • tan 60° = 60/a ⇒ a = tan 60° / 60

<u>Comparing we get:</u>

  • tan 30° / x = tan 60° / 60
  • x = 60 tan 30° / tan 60°
  • x = 20 m

<u>So the distance is:</u>

  • 60 m + 20 m = 80 m

guajiro [1.7K]3 years ago
3 0

Answer:

the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake

Step-by-step explanation:

Hope this helps

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