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: ABC is equal to: Option 1: ()/4 Option 2: ()/6 Option 3: ()/2 Option 4: ()/3

Answer: ()/2. Solution: In triangle ABC: A = = /6, C = = /3. Sum of angles is, so ABC = - /6 - /3 = /2.

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 44 (Geometry)

Based on the above information, answer the question:

$\angle ABC$ is equal to:

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

✅ Correct Option: 3

In triangle ABC: $\angle A = \alpha = \pi/6$ , $\angle C = \beta = \pi/3$ . Sum of angles is $\pi$ , so $\angle ABC = \pi - \pi/6 - \pi/3 = \pi/2$ .

Question 41

The value of $\alpha$ is

Question 42

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

Question 43

Area of $\triangle ABD$ is

Question 45

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

∠ABC\angle ABC∠ABC is equal to:

Solution

More from this set:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

$\angle ABC$ is equal to: