Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

a ladder rest against a wall at an angle alpha to the horizontal its foot is pulled away from the wall through a distance A so that it slides a distance B down the wall making an angle beta with the horizontal.show that a/b=cos(alpha)-cos(beta)/sin(beta)-sin(alpha)
Asked by Muhammed Musthafa | 21 Feb, 2014, 09:46: PM
answered-by-expert Expert Answer
Consider the following figure,
 
 
 
begin mathsize 16px style Let space space XY equals WZ equals straight h space be space the space height space of space the space ladder. Consider space the space triangle space OXY. sinα equals OY over XY sinα equals OY over straight h OY equals hsinα cosα equals OX over XY cosα equals OX over straight h OX equals hcosα Consider comma space increment OWZ sinβ equals OZ over WZ sinβ equals OZ over straight h OZ equals hsinβ cosβ equals OW over WZ cosβ equals OW over straight h OW equals hcosβ From space the space figure space it space is space clear space that straight A equals OW minus OX straight B equals OY minus OZ straight A over straight B equals fraction numerator OW minus OX over denominator OY minus OZ end fraction straight A over straight B equals fraction numerator cosβ minus cosα over denominator sinα minus sinβ end fraction straight A over straight B equals fraction numerator cosα minus cosβ over denominator sinβ minus sinα end fraction end style
Answered by | 28 Nov, 2017, 02:26: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
Two pillars are standing on either side of a 80 m wide road. Height of one pillar is 20 m more than the height of the other pillar. From a point on the road between the pillars, the angle of elevation of the higher pillar is 60°, whereas that of the other pillar is 30°. Find the position of the point between the pillars and the height of each pillar. (Use √3 = 1-73)
Asked by swetalinasamantaray022 | 21 Mar, 2023, 04:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
On a warm and lazy Saturday, Rishi is watching a county maintenance crew mow the park across the street. He notices the mower takes 16 sec to pass through 60c of rotation from one end of the park to the other. If the corner of the park is 40 meter directly across the street from his house,  (i) How wide is the park?  (ii) How fast (in kmph) does the mower travel as it cuts the grass?
Asked by badakhsharda | 14 Apr, 2022, 08:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st.
Asked by naancysingh | 09 Apr, 2022, 07:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a person standing on the bank of a river observes that the angle subtented by a tree on the opposite bank of 60 degree. when he retreates 20m from the bank he find the angle to be 30 degree . find the height of the tree and the bradth of the river
Asked by vy499292 | 23 Jan, 2022, 08:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If two crows are sitting at a height of 15 m and 10 m on different trees vertically opposite to each other. They view a vaddi (an estable) on the ground at a angle of depression 45°and 60° respectively. They start at the same time and fly at the same speed along the shortest path to pick up the vadai.Which bird will succeed in it.?
Asked by urzashu7818 | 15 Jan, 2021, 12:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
question
question image
Asked by arindeep.singh | 02 Oct, 2020, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
question
question image
Asked by arindeep.singh | 02 Oct, 2020, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the angle of elevation of a cloud from a point h metre above a lake is theta. the angle of depression of its reflection in the lake is 45 degree. Find the height of the cloud
Asked by arindeep.singh | 11 Sep, 2020, 02:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a fire in the building Bis reported on telephone to two fire staitons P and Q, 20 km apart from each other on a straight road P observes that the fire is at an angle of 60 degree to the road and Q observes that it is at an angle of 45 degree to the road. What station should send its team and how much time will this team have to travel?
Asked by debeswar32 | 06 Aug, 2020, 10:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
from a point on the ground the angles of elevation of the bottom and top of a communication tower fixed on the top of a 20 meter high building a 45 degree and 60 degree respectivelyf.find the height of the tower.
Asked by ahmadaarif199 | 24 Jul, 2020, 02:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×