Q. 94.9( 8 Votes )

At the foot of the mountain, the elevation of its summit is 45°, after ascending 1000m towards the mountain up a slope of 30°, inclination the elevation found to be 60°. Find the height of the mountain.

Answer :

The figure is given below:



height of mountain = CD = H


In ΔACD,





DC = AC = H


In ΔEAB,



y


Thus, BC = AC – AB = (H–500)m





AB = 500√3m


thus BC = AC – AB = (H – 500√3)m


thus EF = (H–500√3)m (since BC = EF)


In ΔDEF,









H = 1350 m


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Applications of TrigonometryQuiz | Applications of TrigonometryQuiz | Applications of Trigonometry47 mins
Application of TrigonometryApplication of TrigonometryApplication of Trigonometry45 mins
Champ Quiz | Trigger on TrigonometryChamp Quiz | Trigger on TrigonometryChamp Quiz | Trigger on Trigonometry47 mins
Basics of TrigonometryBasics of TrigonometryBasics of TrigonometryFREE Class
NCERT | Trigonometric IdentitiesNCERT | Trigonometric IdentitiesNCERT | Trigonometric Identities52 mins
Fundas of TrigonometryFundas of TrigonometryFundas of Trigonometry50 mins
Champ Quiz | Trigonometry Important QuestionsChamp Quiz | Trigonometry Important QuestionsChamp Quiz | Trigonometry Important Questions33 mins
Solving NCERT Questions on Trigonometric IdentitiesSolving NCERT Questions on Trigonometric IdentitiesSolving NCERT Questions on Trigonometric Identities56 mins
NCERT | Imp. Qs. on TrigonometryNCERT | Imp. Qs. on TrigonometryNCERT | Imp. Qs. on Trigonometry42 mins
Quiz | Trail of Mixed Questions on TrigonometryQuiz | Trail of Mixed Questions on TrigonometryQuiz | Trail of Mixed Questions on Trigonometry59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses