1.

Reshma saw a peacock sitting on top of a mango tree in her garden as shown below Here. SR- height of tree R- position of peacock P= door of house Q- position of Reshma on terrace PQ = height of terrace. Measur of angle SPR = angle of elevation at the door of house is 60° measure of angleTQR = angle of elevation from the terrace is 30° The terrace is 30° Formulate a word problem according to the above information and diagram and solve it

Answer»

||✪✪ QUESTION ✪✪||

Reshma saw a peacock sitting on top of a mango tree in her garden as shown below Here. SR- height of tree R- position of peacock P= door of HOUSE Q- position of Reshma on terrace PQ = height of terrace. Measur of angle SPR = angle of elevation at the door of house is 60° measure of angleTQR = angle of elevation from the terrace is 30° The terrace is 30° Formulate a WORD problem according to the above information and diagram and solve it ?

|| ✰✰ ANSWER ✰✰ ||

❁❁ Refer To Image FIRST .. ❁❁

In Right ∆PSR, we have :-

→ Tan60° = Perpendicular / BASE = RS / SP

→ √3 = RS/SP

→ SP = (RS/√3) -------------- Equation (1)

______________

Now, in Right ∆RTQ, we have :-

→ Tan30° = RT/TQ,

→ (1/√3) = RT /TQ,

→ TQ = RT * (√3) ------------ Equation (2)

______________

Now, From Image we can SEE that , TQ = SP,

So, Putting both Equation Equal now, we get,

→ RS/√3 = √3 * RT

→ RS = √3 * √3 * RT

→ RS = 3RT . (Ans).


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