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Calculating Heights and Distances

The angle of ...

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The angle of elevation and depression off the top and bottom of a lighthouse from the top of the building 60 M high are 30 degree and 60 degree respectively . Find 1 find the difference between the height of the lighthouse and the building . 2 distance between the Lighthouse and the building

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Q. From the top of

60 m

high building, the angle of elevation and angle of depression of the top and bottom of a light house from top of building are

30^{0}

60^{0}

respectively. Find out
(i) Difference in heights of light house and building.
(ii) Distance between light house and building.

Q. From the top of a lighthouse

120 m

high two ships on the same side of the lighthouse are observed. The angles of depression of the ships as seen from the lighthouse are found to be

30^{o}

60^{o}

. Find the distance between the two ships (Assume that the two ships and bottom of the lighthouse are in a line).

Q. The angles of depression of the top and the bottom of a building

50 m

high are observed from the top of a tower are

30^{\circ}

60^{\circ}

respectively. Find the height of the tower and the horizontal distance between the building and the tower.

Q. Two boats approach a lighthouse in mid-sea from opposite directions. The angles of elevation of the top of the lighthouse from the two boats are

30^{0}

60^{0}

respectively. If the distance between two boats is

100

m, then find the height of the lighthouse.

Q. From the top of a building

A B, 60 m

high, the angle of the depression of the top and bottom of vertical lamp post

C D

are observed to be

30^{\circ}

60^{\circ}

respectively. Find
(i) The horizontal distance between

A B

C D

.
(ii) The height the lamp post.
(iii) The difference between the height of the building and the lamp post.

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Calculating Heights and Distances

Standard X Mathematics

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