Question

Height of a pole is 24 m. Find the length of rope tied with its top from a point on the ground
at a distance of 10 m from its foot.

Answer 1

Given:-

• Height of pole = 24 m
• Distance of rope tied on the ground from its foot = 10 m

To find:-

• The length of rope.

Note:-

• Refer to the attachment for a clear view of explanation.

Solution:-

We can see that in this scenario a right- angled triangle is being formed with:-

• base = 10 m
• height (or perpendicular) = 24 m

Hence using pythagoras theorem we can find the measure of hypotenuse.

According to pythagoras theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

(BC)² = (AB)² + (AC)²

= BC = √(10)² + (24)²

=> BC = √100 + 576

=> BC = √676

=> BC = 26 m

Therefore the measure of BC (or hypotenuse) is 26 m.

Therefore, The length of the rope is 26 m.

________________________________

Additional Information:-

→ What is Pythagoras Theorem?

✓ Pythagoras Theorem states that the measure of square of hypotenuse is equal to the sum of square of the other two sides.

• In a right - angled triangle the longest side is the hypotenuse.
• The side opposite to 90° is called hypotenuse.

________________________________

Answer 2

Answer:

$\huge \bf{ \underline{ \underline{Given:-}}}$

Height of pole = 24 m

Distance of rope tied on the ground from its foot = 10 m

To find:-

The length of rope.

$\huge \bf{ \underline{ \underline{Solution:-}}}$

We can see that in this scenario a right- angled triangle is being formed with:-

base = 10 m

height (or perpendicular) = 24 m

Hence using pythagoras theorem we can find the measure of hypotenuse.

According to pythagoras theorem,

$\bf \: (Hypotenuse)² = (Base)² + (Perpendicular)²$

$\bf \: (BC)² = (AB)² + (AC)²$

$\bf= BC = \sqrt{(10)² + (24)²}$

$\bf \longrightarrow \: BC = \sqrt{100 + 576}$

$\bf \longrightarrow \: BC = \sqrt{676}$

$\bf \: \longrightarrow \: BC = 26 m$

Therefore the measure of BC (or hypotenuse) is 26 m.

Therefore the measure of BC (or hypotenuse) is 26 m.Therefore, The length of the rope is 26 m.

━━━━━━━━━━━━━━━━━━━

More Information✔:-

Pythagoras Theorem states that the measure of square of hypotenuse is equal to the sum of square of the other two sides.In a right - angled triangle the longest side is the hypotenuse.The side opposite to 90° is called hypotenuse.

━━━━━━━━━━━━━━━━━━━━━