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From a window, h metres high …

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From a window, h metres high above the ground, of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are α and β respectively. Show that the height of the opposite house is h(1+tanα.cotβ) metres.

    • Posted by Nancy Rajput 7 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 10 answers

    I Am Online On Brnly Id Is Geniusvatsone 7 years, 1 month ago

    Oo but nice

    0Thank You

    Darpan Yadav 7 years, 1 month ago

    Coincidently, I had solved this question , today

    0Thank You

    I Am Online On Brnly Id Is Geniusvatsone 7 years, 1 month ago

    Very nice samaira???

    0Thank You

    Nancy Rajput 7 years, 1 month ago

    thanks

    0Thank You

    I Am Online On Brnly Id Is Geniusvatsone 7 years, 1 month ago

    How

    1Thank You

    Darpan Yadav 7 years, 1 month ago

    Let WB = h m, height of the smaller window & QO = H m, height of the other window. Let BO = x m, distance between the two windows. ∠QWM = α & ∠WOB = β In ∆WOB, In ∆QWM, Comparing eq. 1 and eq. 2, we get (H – h)/tan α = h/tan β ⇒ (H – h) tan β = h tan α ⇒ H tan β – h tan β = h tan α ⇒ H tan β = h tan α +h tan β ⇒ H tan β = h (tan α + tan β) ⇒ H = (h (tan α + tan β))/tan β ⇒ H = h (tan α/tan β + 1) ⇒ H = h (1+tan α/tan β) ⇒ H = h (1+tan α cot β) Hence, proved.

    0Thank You

    Nancy Rajput 7 years, 1 month ago

    send to me

    1Thank You

    I Am Online On Brnly Id Is Geniusvatsone 7 years, 1 month ago

    Have solved

    0Thank You

    Nancy Rajput 7 years, 1 month ago

    so solve it

    0Thank You

    I Am Online On Brnly Id Is Geniusvatsone 7 years, 1 month ago

    Very simple ...but can't be done here sorry

    0Thank You

    ANSWER
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