Question
If in the given figure AD is perpendicular to BC, AC =
26 units, CD = 10 units, BC = 42 units, triangle DAC whose angle is x and angle B = y, then, find the value of 6/cosx -5/cosy +8 tany =?Solution
In ∆ ADC – AD = √(AC)2-DC2 ) AD = √(262-102 ) AD = √(676-100) AD = √576 = 24 AD = 24 Now in ∆ABD AB = √(AD)2+(BD)2 ) AB = √(242+322 AB = √(576+1024) = √1600 AB = 40 NOW- ∴The side opposite to the angle is the hypotenuse, so the base for angle x will be AD. cosx=24/26 cosy=32/40 tany=24/32 6/cosx -5/cosy +8 tany =? =6/(24/26)-5/(32/40)+8×24/32 =26/4 - 25/4 + 24/4 =(50-25)/4 =25/4 6/cosx -5/cosy +8 tany =25/4
What is the primary objective of the Vivad se Vishwas-2 scheme launched by the government?
1) Provide relief to Micro, Small, and Medium Enterpri...
Which of the following risks is specifically listed among India’s top risks in the Global Risks Report 2026?
According to the climate cooperation initiative announced between India and Germany, what amount of funding will Germany provide under the International...
Who is the author of the book “Forks in the Road: My Days at RBI and Beyond” ?
What is the coverage amount for loans to MSMEs, FPOs, and traders under the Credit Guarantee Scheme for e-NWR based Pledge Financing (CGS-NPF)?
What gives Red Soil its distinct red color?
The "Har Ghar Dastak 2.0" campaign focuses on what primary objective?
What is the mascot of the Khelo India Winter Games 2024, to be held in Ladakh and Jammu & Kashmir?
What is the interest rate calculation method for the Sukanya Samridhi Yojana, and how is the interest compounded?
How many metric tonnes of fortified rice did APEDA facilitate for export from Chhattisgarh to Papua New Guinea?
