Mathematics
In the given figure, the angle of depression of point D from point A is :
55°
35°
45°
60°
Answer
In △ ABC,
⇒ ∠BAC + ∠ABC + ∠BCA = 180°
⇒ ∠BAC + 90° + 60° = 180°
⇒ ∠BAC + 150° = 180°
⇒ ∠BAC = 180° - 150° = 30°.
⇒ ∠A = ∠BAC + ∠CAD = 30° + 25° = 55°.
In △ ABD,
⇒ ∠A + ∠B + ∠D = 180°
⇒ 55° + 90° + ∠D = 180°
⇒ 145° + ∠D = 180°
⇒ ∠D = 180° - 145° = 35°.
From figure,
⇒ ∠XAD = ∠D = 35°.
Hence, Option 2 is the correct option.
Related Questions
The orthocenter, incenter, circumcentre and centroid of a triangle coincide, the triangle is :
scalene
isosceles
equilateral
right angled
If PT is tangent to the circle at point T and PAB is secant of this circle. Then which of the following statements is true ?
PT2 = PA × AB
PT2 = TB × PA
PT2 = PA × PB
PT2 = PB × TB
Two men A and B have a choice to buy ₹ 100 shares. A buys shares at ₹ 120 per share and 5% dividend. B buys shares at ₹ 150 per share and 8% dividend. Which of the two men A and B gets the better return, if the nominal value of both the shares is ₹ 100?
A
B
both get equal returns
cannot say