Quantitative Aptitude HEIGHT & DISTANCE for SBI CLERK & PO
Height & Distance is an important topic of trigonometry from which questions are expected in banking as well as SSC exams. The concept of Height & Distance is not much tricky but you should be aware with the values of all trigonometric ratios at different angles.
Let us understand the concept of Height & Distance with the help of some examples:
Ques: The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6m away from the wall. The length of the ladder is:
Sol: Let AB be the wall and BC be the ladder.
Then, ےACB = 60º and AC = 4.6 m
AC / BC = cos 600 = 1/2
So, BC = 2 * AC
= 2 * 4.6 = 9.2m
For practice sets of Quant Section & more, click on Bank Exam Preparation.
Ques: From a point P on a level ground, the angle of elevation of the top of the tower is 30º. If the tower is100 m high, the distance of point P from the foot of the tower is:
Sol: Let AB be the tower.
Then, ےAPB = 300& AB = 100m
AB / AP = tan 300= 1/√3
So, AP = AB * √3
= 100 * √3
= 100√3 m.
Ques: Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Sol: Let AB be the lighthouse and C and D be the positions of the ships.
Then, AB = 100m, ےACB = 300&ےADB = 450
AB / AC = tan 300= 1 / √3
So, AC = 100√3 m
AB / AD = tan 450= 1
So, AD = AB = 100 m
So, CD = AC + AD
= (100√3 + 100)m.
Find out more solved and practice questions of Quantitative aptitude and reasoning, click SBI PO & Clerk Exam for details.
There are few questions you can try yourself.
Q1. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
- 173 m
- 200 m
- 273 m
- 300 m
Q2. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
- 3 m
- 6 m
- 2 m
- 8 m
Q3. The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
- 30 degree
- 45 degree
- 60 degree
- 90 degree
Q4. From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower.
- 170 m
- 172 m
- 173 m
- 167 m
Q5. A man is watching form the top of the tower a boat speeding away from the tower. The boat makes the angle of depression of 45 degree with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds the angle of depression becomes 30 degree. What is the approximate speed of the boat, assuming that it is running in still water ?
- 22 km/Hr
- 28 Km/Hr
- 36 Km/Hr
- 32 Km/Hr
Mock test papers and online test series for IBPS/SBI PO & Clerk are available, click here Online banking classes for Bank PO and Clerk for details.
Takshila Learning helps you in cracking Banking Exams PO/Clerk, join us Today……
Our main objective is to impart quality education to our students who want to work in the government sector. We have experienced faculty members who leave no stone upturned in helping the students in realizing their dreams. We have prepared an online course which caters to all your needs to score good marks in banking as well as insurance exams. Our Online Study Material is unique & latest content is added regularly keeping in mind the latest pattern of questions asked in various Bank exams. You can also take our Online Mock Tests with detailed solutions & analysis in order to keep track with the pace of other students.
- Complete coverage of the whole syllabus
- Interactive video sessions by our experienced faculty
- Well qualified & experienced faculty
- Impeccable Online Study Material
- Regular Topic-wise articles on all the subjects.
- Pioneer in Online Test Series
- Online Bank Coaching Classes
Learn more Bank Exam Related topics here…
Follow us on a Social media