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 the tree, and the top of the building fall in one line, and the eyes of Suhas are at a height of 1.8 m from the ground, At what distance (in m) from Suhas is the tree located?
Option 1: 6
Option 2: 5
Option 3: 7.5
Option 4: 9
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: 7.5
Solution : Given, Subhas' eyes (EF) are at a height of 1.8 m. A 3.15 m tall tree (CD), stands 45 m to an 11.25 m tall building (AB). Their heights align. Observe that $\triangle ABG\sim \triangle CDG\sim \triangle EFG$ According to the question, $\frac{3.15}{\text{DG}} = \frac{11.25}{ 45+\text{DG}}$ $⇒3.15\times 45+3.15\text{DG}=11.25\text{DG}$ $⇒8.1\text{DG}=3.15\times 45$ $⇒\text{DG} = 17.5$ Also, $\frac{1.8}{\text{FG}} = \frac{3.15}{17.5}$ $⇒\text{FG} = 10$ Now, $\text{DF=DG}-\text{FG}=17.5-10=7.5$ Hence, the correct answer is 7.5.
Candidates can download this e-book to give a boost to thier preparation.
Answer Key | Eligibility | Application | Admit Card | Preparation Tips | Result | Cutoff
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 : 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.
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