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

Question

2 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] · Answer 1 · 2022-08-28T11:40:39+03:00

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

On the top triangle we have:

tan 30° = x/a ⇒ a = tan 30° / x

On the bottom triangle we have:

tan 60° = 60/a ⇒ a = tan 60° / 60

Comparing we get:

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

So the distance is:

60 m + 20 m = 80 m

guajiro [1.7K] · Answer 2 · 2022-08-28T10:05:35+03:00

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