Step-by-step explanation:

Diagram:- Refer the attachment.

Given:-

• Height of first pole = 8m

• Height of second pole = 16m

• Distance between the feet of poles = 15m

To Find:-

• The distance between the tops of the two poles.

Solution:-

Let the height of the first pole be AB = 8m

And height of the season pole be DC = 16m

• AC = 15m

Let us draw a line BE perpendicular to CD. i.e BE ⊥CD

And, AC ⊥ DC

So, BE = AC = 15m

And, AB = EC = 8m

Now:-

By applying Pythagoras Theorem:-

Given:-

• Height of two poles = 8m and 16m
• Distance between their feet = 15m

Find:-

• Distance between their tops.

Diagram:-

Let, two poles AB and CD

where, AB = 16m and CD = 8m

Now, Draw CE ⊥ AB

So, EB = CD = 8m, EC = BD = 15m

and, ∠AEC = 90°

Solution:-

Here,

→ AB = AE + EB

where,

• AB = 16m
• EB = 8m

• Substituting these values •

→ 16 = AE + 8

→ 16 - 8 = AE

→ 8m = AE

→ AE = 8m

Now, In right ∆AEC

↦ H² = P² + B²...........[Pythogoras Theorem]

↦ AC² = AE² + EC²

where,

• AE = 8m
• EC = 15m

• Substituting these values •

➠ AC² = AE² + EC²

➠ AC² = 8² + 15²

➠ AC² = 64 + 225

➠ AC² = 289

➠ AC = √(289)

➠ AC = 17m

∴ AC = 17m

Hence, Distance between the tops of the tower is 17m.