Two men on either side of a pole of 30 m high observe its top at angles of elevation and respectively. The distance between the two men is 40√3 m and the distance between the first man at A and the pole is 30√3 m. Based on the above information, answer the question: The value of is Option 1: ()/3 Option 2: ()/4 Option 3: ()/6 Option 4: ()/8

Answer: ()/6. Solution: In right triangle ABD with pole BD = 30 m and AD = 30√3 m: = BD/AD = 30/30√3 = 1/√3. Therefore = 30^ = /6.

Geometry

Trigonometry

Easy

Two men on either side of a pole of 30 m high observe its top at angles of elevation $\alpha$ and $\beta$ respectively. The distance between the two men is $40\sqrt{3}$ m and the distance between the first man at A and the pole is $30\sqrt{3}$ m.

Figure for CUET Mathematics 2022 10 Aug Shift 1 question 41 (Geometry)

Based on the above information, answer the question:

The value of $\alpha$ is

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{8}$

✅ Correct Option: 3

In right triangle ABD with pole BD = 30 m and AD = $30\sqrt{3}$ m: $\tan\alpha = \frac{BD}{AD} = \frac{30}{30\sqrt{3}} = \frac{1}{\sqrt{3}}$ . Therefore $\alpha = 30^\circ = \pi/6$ .

Question 42

$\tan(\alpha + \beta) =$

Question 43

Area of $\triangle ABD$ is

Question 44

$\angle ABC$ is equal to:

Question 45

The value of $\frac{1}{AB^2} + \frac{1}{BC^2}$ is:

The value of α\alphaα is

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

The value of $\alpha$ is