Question

3) A tower is 15m. high. A peg is fixed on the ground at
a distance of 8 m. from the root of the tower. If
a rope is tied froın top of the tower to the peg,
find the lenght of rope? (Draw the figure accordingly.)
If the rope costs Rs. 12.50 metre. Find total cost of
the rope.​

Answer 1

here u go my guyy...

Answer 2

Step-by-step explanation:

Drawing the picture.

• Let us draw the tower $AB$ first and label it $15$ m high.

• Draw another point $C$ at a distance of $8$ m (labelled) from the point $B$.

• Now join $A$ and $C$, and $B$ and $C$

• Consider, $AC$ as the rope.

Solution.

We see that $\triangle ABC$ is a right-angled triangle. Thus by Pythagorean theorem, we can write

$\quad AC^{2}=AB^{2}+BC^{2}$

$\Rightarrow AC^{2}=15^{2}+8^{2}$

$\Rightarrow AC^{2}=225+64=289$

$\Rightarrow AC^{2}=17^{2}$

$\Rightarrow AC=17$

Therefore the rope is of length 17 m.

Since the cost of rope is ₹ 12.50 per metre, the total cost of the rope of 17 metres is ₹ (12.50 × 7) = ₹ 212.50.

Answer.

• Length of the rope is 17 metres.

• Total cost of the rope is ₹ 212.50.