Mastering Trigonometry: Bank PO Quantitative Aptitude Challenge

Interactive Quiz: Mastering Trigonometry: Bank PO Quantitative Aptitude Challenge

Mastering Trigonometry: Bank PO Quantitative Aptitude Challenge

Level up your preparation for IBPS and SBI PO exams with this comprehensive Trigonometry quiz focusing on identities, heights, and distances.

Question 1 of 10

If the length of the shadow of a vertical pole is $\\\sqrt{3}$ t \times the height of the pole, what is the angle of elevation of the sun?

$30^{\circ}$

$45^{\circ}$

$60^{\circ}$

$90^{\circ}$

Question 2 of 10

Find the value of the expression: $ an 4^{\circ} \cdot an 43^{\circ} \cdot an 47^{\circ} \cdot an 86^{\circ}$

$0$

$1$

$\\\sqrt{3}$

$\\\frac{1}{2}$

Question 3 of 10

If $\sin \theta + \sin^2 \theta = 1$, then what is the value of $\cos^2 \theta + \cos^4 \theta$?

$-1$

$0$

$1$

$2$

Question 4 of 10

If $5 an \theta = 4$, then find the value of $\\\frac{5\sin \theta - 3\cos \theta}{5\sin \theta + 2\cos \theta}$.

$\\\frac{1}{6}$

$\\\frac{2}{3}$

$\\\frac{1}{4}$

$\\\frac{5}{7}$

Question 5 of 10

The angle of elevation of a ladder leaning against a wall is $60^{\circ}$ and the foot of the ladder is $4.6$ $ \text{m}$ away from the wall. What is the length of the ladder?

$2.3 \text{ m}$

$4.6 \text{ m}$

$7.8 \text{ m}$

$9.2 \text{ m}$

Question 6 of 10

Simplify the expression: $\\\frac{\sin 70^{\circ}}{\cos 20^{\circ}} + \\\frac{ \text{cosec } 20^{\circ}}{\sec 70^{\circ}} - 2\cos 70^{\circ} \text{cosec } 20^{\circ}$

$0$

$1$

$2$

$-1$

Question 7 of 10

If $\sec \theta + an \theta = p$, what is the value of $\sin \theta$ in terms of $p$?

$\\\frac{p^2-1}{p^2+1}$

$\\\frac{2p}{p^2+1}$

$\\\frac{p^2+1}{p^2-1}$

$\\\frac{p^2-1}{2p}$

Question 8 of 10

From a point $P$ on the ground, the angle of elevation of the top of a tower is $30^{\circ}$. If the tower is $100$ $ \text{m}$ high, how far is point $P$ from the base of the tower?

$100\\\sqrt{3} \text{ m}$

$\\\frac{100}{\\\sqrt{3}} \text{ m}$

$200 \text{ m}$

$50\\\sqrt{3} \text{ m}$

Question 9 of 10

What is the maximum value of the expression $7\sin \theta + 24\cos \theta$?

$24$

$25$

$31$

$49$

Question 10 of 10

The angles of elevation of the top of a tower from two points at distances of $9$ $ \text{m}$ and $16$ $ \text{m}$ from the base and in the same straight line with it are complementary. Find the height of the tower.

$10 \text{ m}$

$12 \text{ m}$

$15 \text{ m}$

$25 \text{ m}$

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Keywords: Bank PO Trigonometry, IBPS Quant Quiz, SBI PO Quantitative Aptitude, Trigonometry Heights and Distances, Math for Competitive Exams, Trigonometric Identities Practice