Ravi's eyes are 1.5 m above the ground. Standing on level ground 12 m from the foot of a vertical mast in a Chennai park, he finds the angle of elevation of the top of the mast from his eyes to be 60°. Find the height of the mast above the ground, correct to two decimal places (take √3 = 1.732).

Question

Accepted Answer

22.28. Above eye level: tan 60 = x/12 => x = 12 √3 = 20.78 m. His eyes are 1.5 m above the ground, so the mast is 20.78 + 1.5 = 22.28 m tall. Leaving the answer at 20.78 m forgets the observer's eye height.

Ravi's eyes are 1.5 m above the ground.
Standing on level ground 12 m from the foot of a vertical mast in a Chennai park, he finds the angle of elevation of the top of the mast from his eyes to be 60°.
Find the height of the mast above the ground, correct to two decimal places (take $3 = 1.732$ ).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

Ravi's eyes are 1.5 m above the ground.Standing on level ground 12 m from the foot of a vertical mast in a Chennai park, he finds the angle of elevation of the top of the mast from his eyes to be 60°.Find the height of the mast above the ground, correct to two decimal places (take 3​=1.732).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

Ravi's eyes are 1.5 m above the ground.
Standing on level ground 12 m from the foot of a vertical mast in a Chennai park, he finds the angle of elevation of the top of the mast from his eyes to be 60°.
Find the height of the mast above the ground, correct to two decimal places (take $3 = 1.732$ ).