SOLUTION: a man sitting on 22.5 m high storey building measures the angles of elevation of a telecom mast directly ahead of him as 43'. He measures the angle of elevation of the mast when he

Question 1170353: a man sitting on 22.5 m high storey building measures the angles of elevation of a telecom mast directly ahead of him as 43'. He measures the angle of elevation of the mast when he is 52m in the front of the building on the horizontal ground as 70'
A calculate the height of the mast
The distance between the building and the mast
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

AB = x/tan 40
tan 70 = (x+22.5)/52
52 * tan 70 -22.5 =x= AB tan 40
AB = 52 * tan 70 -22.5/ tan 40
AB = 143.45 m
Find x from AB = x/tan 40

.

x=

RELATED QUESTIONS
a man sitting on 22.5 m high storey building measures the angles of elevation of a... (answered by CPhill)

A radio transmission antenna is located at the top of the building. AAn observer located (answered by rothauserc)

In Parallelogram MAST , the measure of angle M is 30 more than the measure of angle A .... (answered by ikleyn)

From a second-storey window directly across the street, the angle of elevation of the top (answered by ikleyn,math_tutor2020)

A man 1.5 m tall is on the top of a building .He observes a car on the road at an angle... (answered by mananth)

2. In the given figure 3. P, Q and R are three points (a) the bearing of Q from (answered by ikleyn)

The angle of elevation of the top of a radio mast from a point 53m from its base on level (answered by ikleyn)

The angle of elevation of the top of a radio mast from a point 53m from its base on level (answered by Alan3354)

A flagpole 40 ft high stands on top of the Wentworth Building. From a point P in the... (answered by lwsshak3)