Question

Tʜᴇ ᴀɴɢʟᴇ ᴏғ ᴇʟᴇᴠᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴛᴏᴘ ᴏғ ᴀ ᴛᴏᴡᴇʀ ғʀᴏᴍ ᴀ ᴘᴏɪɴᴛ ᴏɴ ᴛʜᴇ ɢʀᴏᴜɴᴅ, ᴡʜɪᴄʜ ɪs 30 ᴍ ᴀᴡᴀʏ ғʀᴏᴍ ᴛʜᴇ ғᴏᴏᴛ ᴏғ ᴛʜᴇ ᴛᴏᴡᴇʀ, ɪs 30°. Fɪɴᴅ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛᴏᴡᴇʀ



I'ᴅ ʙᴀɴ ʜᴏɴᴇ ᴡᴀʟɪ ʜ -,-​

Answer 1

Answer:

Given:-

Tʜᴇ ᴀɴɢʟᴇ ᴏғ ᴇʟᴇᴠᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴛᴏᴘ ᴏғ ᴀ ᴛᴏᴡᴇʀ ғʀᴏᴍ ᴀ ᴘᴏɪɴᴛ ᴏɴ ᴛʜᴇ ɢʀᴏᴜɴᴅ, ᴡʜɪᴄʜ ɪs 30 ᴍ ᴀᴡᴀʏ ғʀᴏᴍ ᴛʜᴇ ғᴏᴏᴛ ᴏғ ᴛʜᴇ ᴛᴏᴡᴇʀ, ɪs 30°. Fɪɴᴅ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛᴏᴡᴇʀ

To Find:-

Fɪɴᴅ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛᴏᴡᴇʀ.

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Answer 2

We can use trigonometry to solve the problem.

Let $h$ be the height of the tower.

Then we have:

$\tan 30^\circ = \frac{h}{30\text{ m}}$

Simplifying and solving for $h$, we get:

$h = 30\text{ m}\cdot \tan 30^\circ = 30\text{ m} \cdot \frac{\sqrt{3}}{3} = \boxed{10\sqrt{3}\text{ m}}$