Question

A ladder is leaning against a wall. The ladder has a known length of 3m. Cassandra wishes to find the vertical height to which the ladder reaches but she only has a 15cm ruler. She measures a distance of 15cm up the ladder and drops a piece of string to the ground. She measures the length of the string to be 10.6cm. From this information, determine the vertical height to which the ladder reaches. Show your working.

Answer 1

Step-by-step explanation:

From triangle ACD we get,

sin 60 degree = AC/10

or, (3^1/2)/2 = AC/10

or, AC = 5 x (3^1/2) metre.

Similarly, from triangle BCE we get,

sin 30 degree = BC/10

or, 1/2 = BC/10

or, BC = 5metre.

Now we know that AB = AC - BC = 5 x (3^1/2) metre - 5 metre.

= 5(root3 - 1) metre. (Ans).

Answer 2

Answer:

5(ROOT3-1)

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