A boy, standing on the top of a tower 20 meter height, saw the top of a building at an elevation of 50c and its base at a depression of 30c [3] (a) Draw a rough figure according to the given data. (b) Find the distance between the tower and the building. (c) Find the distance from the top of the tower to the base of the building. [use sin500.77 c = , cos500.64 c = , tan501.2 c = , 31.
Answers
the distance between the tower and the building = 34.6 m , distance from the top of the tower to the base of the building = 40 m
Step-by-step explanation:
Distance between tower & building = d
Height of Building = h
Tower height = 20 m
Tan 30° = 20/d
=> 1/√3 = 20/d
=> d = 20√3 = 34.6 m
the distance between the tower and the building = 34.6 m
Find the distance from the top of the tower to the base of the building
Sin 30 = 20/ distance from the top of the tower to the base of the building
=> 1/2 = 20/ distance from the top of the tower to the base of the building
=> distance from the top of the tower to the base of the building = 40 m
tan 50° = (h - 20)/d
=> 1.2 = (h - 20)/20√3
=> h - 20 = 41.5
=> h = 61.5 m
Height of building = 61.5 m
Learn more:
A boy standing on the top of the tower 20 metre high so the top of a ...
https://brainly.in/question/14652300
From the top of tower of 50 m high' neha observe the angle of ...
https://brainly.in/question/7110544
