Question : From two points on the ground lying in a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 m and 16 m and the two points lie on the same side of the pillar, then the height of the pillar is:
Option 1: 5 m
Option 2: 10 m
Option 3: 7 m
Option 4: 12 m
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 12 m
Solution : Let $AB$ be the height of the pole. $BC$ = 9 m and $BD$ = 16 m $\angle ADB = \theta$ $\angle ACB = 90°-\theta$ From $\triangle ABC$, $\tan (90°-\theta) = \frac{AB}{BC}$ ⇒ $\cot$ $\theta$ = $\frac{AB}{9}$------------------(i) From $\triangle$ABD, $\tan$ $\theta$ = $\frac{AB}{16}$----------------(ii) Multiplying equations (i) and (ii), $AB^2$ = 144 ⇒ $AB$ = 12 m Hence, the correct answer is 12 m.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Two points P and Q are 3 cm apart. These two points lie on the circumference of a circle having a radius of 1.7 cm. What is the distance (in cm ) of the line segment PQ from the centre of the circle?
Question : A pilot in an aeroplane at an altitude of 200 metres observes two points lying on either side of a river. If the angles of depression of the two points be $45^{\circ}$ and $60^{\circ}$, then the width of the river is:
Question : Suhas, a 3.15 m tall tree, and a building are positioned such that their feet on the ground are collinear and the tree is located between Suhas and the building. The tree is located at a distance of 7.5 m from Suhas and a distance of 45 m from the building. Further, the eyes
Question : Suhas, a tree, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Suhas and the building. The tree is located at a distance of 7.5 m from Suhas and a distance of 45 m from the building. Further, the eyes
Question : A vertical pole and vertical tower are standing on the same level of ground. The height of the pole is 10 m. From the top of the pole, the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile