Question

14. 14 ground () from the top te tell tower AB of weigert 12m the angle of depression of apeint ? on me found to be 45. The distance of another pašnt q laying opposite sde el nie truser and on the stelligent line jaining Pand A from the P A foot of tower is 423 m. Make a labeled diaguan en Mhe basis of quien information and calculate the distance of the point p from the foot A of the tower AB is ชา ☺ Find the total distance behween the points P and Q​

Answer 1

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Class 10>>Maths>>Some Applications of Trigonometry>>Heights and Distances>>From the top of a building AB, 60 m high

Question

From the top of a building AB, 60 m high, the angle of the depression of  the top and bottom of vertical lamp post CD are observed to be 30∘ and 60∘ respectively. Find

(i)   The horizontal distance between AB and CD.

(ii)  The height the lamp post.

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

Medium

Consider the given data.

The height of building AB=60 m.

 

And angle of the depression of the top and bottom of vertical lamp post CD are observed to be 30∘ and  60∘, respectively shown in the figure.

 In the △ADB,

tan60∘=x60

3=x60

x=360 m

 

In the △ACP,

  tan30∘=x60−h

 31=36060−h