Math, asked by sagarghadigaonkar200, 5 months ago

A ladder on the platform of a fire brigade van can be elevated at an angle of 60° to the
maximum. The length of the ladder can be extended upto 40 m. If the platform is 2.5 m

above the ground, find the maximum height from the ground upto which the ladder can
reach. ( √3 = 1.73)​

Answers

Answered by ssuresh1984
2

here your answer ⤵️

➡️Let AB represent the length of the ladder and AE represent the height of the platform.

Draw seg AC ⊥ seg BD.

Angle of elevation = ∠BAC = 70°

AB = 20m

AE = 2m

In right-angled ABC,

sin 70° = BC/AB …..[By definition]

∴ 0.94 = BC/20

∴ BC = 0.94 × 20 = 18.80 m

In ◼️ACDE,

∠E = ∠D = 90°

∠C = 90° … [seg AC ⊥ seg BD]

∴ ∠A = 90° … [Remaining angle of □◻ACDE]

∴ ◼️ACDE is a rectangle. … [Each angle is 90°]

∴ CD = AE = 2 m … [Opposite sides of a rectangle]

Now,

BD = BC + CD … [B – C – D]

= 18.80 + 2

= 20.80 m

∴ The maximum height from the ground upto which the ladder can reach is 20.80 metrs.⬅️

Step-by-step explanation:

✳️ helpful for you✳️

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