Given:
- Height of the lighthouse (BD) = 81 m
- Angle of elevation from the first ship (∠BAD) = 45°
- Angle of elevation from the second ship (∠BCD) = 60°
Solution:
Let the lighthouse be of height BD = 81 m, and let A and C be the positions of the two ships.
Then, ∠BAD = 45° and ∠BCD = 60°.
In △ABD, we have:
In △BCD, we have:
Now, the distance between the two ships, AC = BA + BC
= 81 + 27√3
=
Then the distance between two ships = =
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishA boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
The length of a vertical rod and its shadow are in the ratio of Find the angle of elevation of the sun.
The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.
A vertical stick 14 m long, casts a shadow 5 m long on the ground. At the same time, a tower casts a shadow of 44.5 m long on the ground. The height of the tower is _____.
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is:
Suggested Test Series
Suggested Test Series
A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
The length of a vertical rod and its shadow are in the ratio of Find the angle of elevation of the sun.
The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.
A vertical stick 14 m long, casts a shadow 5 m long on the ground. At the same time, a tower casts a shadow of 44.5 m long on the ground. The height of the tower is _____.
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is:
