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 43 (Geometry)

Based on the above information, answer the question:

Area of $\triangle ABD$ is

$150\sqrt{3} \, m^2$

$900\sqrt{3} \, m^2$

$450\sqrt{3} \, m^2$

$100\sqrt{3} \, m^2$

✅ Correct Option: 3

Triangle ABD is right-angled at D, with AD = $30\sqrt{3}$ m and BD = 30 m. Area $= \frac{1}{2} \times AD \times BD = \frac{1}{2} \times 30\sqrt{3} \times 30 = 450\sqrt{3}\, m^2$ .

Question 41

The value of $\alpha$ is

Question 42

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

Question 44

$\angle ABC$ is equal to:

Question 45

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

Area of △ABD\triangle ABD△ABD is

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

Area of $\triangle ABD$ is