Question

a ladder on the platform of a fire brigade van can be elavated at an angle of 70 Degree to the maximum. The length of the ladder can beextended upto 20m . If the platform is above the graund, find the maximum height from the ground upto whoch the ladder can reach.(sin70degree is equal to 0.94)

Answer 1

sin70=max height/length of ladder
max height=0.94×20=18.8m

Answer 2

Answer:

Step-by-step explanation:

Length of Ladder, the height it can reach forms a right angled triangle

where perpendicular P = Height it can reach

and hypotenuse H = Length of Ladder

So, applying trigonometric formula, we have

sin Ф = P / H

Ф = 70° at maximum

sin 70° = P / 20

0.94 = P / 20

P = 20 * 0.94

P = 18.8 m

Now, Ladder is placed 2m above ground, so

Height from ground it can reach = 18.8 + 2 = 20.8 m

therefore, it can reach maximum 20.8 m from the ground.

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