Question

*What is the distance between the lower end of the ladder and the base of the wall if the ladder 17 m high is erected at the top end of the 15 m high wall?*1️⃣ 7.5 m2️⃣ 9 m3️⃣ 8 m4️⃣ 10.5 m​

Answer 1

Answer:

8m

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Step-by-step explanation:

the three lines formed by this situation form the 3 sides of a right angled triangle. the ladder forms the hypotenuse and the wall is one of the legs. the "distance between the lower end of the ladder and the base of the wall" is the other leg of the triangle.

now, we will use pythagora's theorem to find the length of the second leg.

a²+b²=c²

here, a is the first leg, b is the second leg (which we have to find) and c is the hypotenuse.

(15m)² + b² = (17m)²

225 + b² = 289

b² = 289 - 225

b² = 64

b = √64

b = 8