Question : Subhas, a 3.15 m tall 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 Subhas and the building. The tree is located at a distance of 7.5 m from Subhas and a distance of 45 m from the building. Further, the eyes of Subhas, the top of the tree, and the top of the building fall in one line. Find the height (in m ) from the ground at which Subhas's eyes are situated.
Option 1: 1.75
Option 2: 1.8
Option 3: 1.6
Option 4: 1.5
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: 1.8
Solution : Let XA be Subhas, YB be the tree, and ZC be the building. YB = 3.15 m ZC = 11.25 m AB = 7.5 m BC = 45 m XO = AB = 7.5 m OP = BC = 45 m ⇒ XP = XO + OP = 7.5 + 45 = 52.5 m Let the height from the ground at which Subhas's eyes are situated be $h$. OY = BY – OB = 3.15 – $h$ PZ = ZC – PC = 11.25 – $h$ Let the angle of elevation be $\theta$. In $\triangle$XPZ, $\tan \theta = \frac{\text{PZ}}{\text{PX}} = \frac{11.25-h}{52.5}$ -----------(i) In $\triangle$XOY, $\tan \theta = \frac{\text{OY}}{\text{OX}} = \frac{3.15-h}{7.5}$ ------------(ii) $⇒ \frac{11.25-h}{52.5} = \frac{3.15-h}{7.5}$ $⇒ \frac{11.25-h}{7} = \frac{3.15-h}{1}$ $⇒11.25-h = 7(3.15-h)$ $⇒11.25-h = 22.05-7h$ $⇒6h = 10.8$ $\therefore h = \frac{10.8}{6} = 1.8$ m Hence, the correct answer is 1.8.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Suhas, a 3.15 m tall 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 45 m from the building. Further. the eyes of Suhas, the top of
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 : 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
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