Class X Mathematics

Chapter 9: Some Applications of Trigonometry

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  • Title: Class X Math: Some Applications of Trigonometry Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

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Class X Mathematics: Some Applications of Trigonometry

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Height formula
h = d \tan\theta

Section II: Answer the Questions

1. Aditya is a pilot in Air India. During the Covid -19 pandemic, many Indian passengers were stuck at Dubai Airport. The government of India sent special aircraft to take them. Mr. Vinod was leading this operation. He is flying from Dubai to New Delhi with these passengers. His airplane is approaching point A along a straight line and at a constant altitude h. At 10:00 am, the angle of elevation of the airplane is 30° and at 10:01 am, it is 60°. (i) What is the distance d is covered by the airplane from 10:00 am to 10:01 am if the speed of the airplane is constant and equal to 600 miles/hour? (ii) What is the altitude h of the airplane? (round

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2. Case Study - 1 Ram is watching the top and bottom of a lighthouse from the top of the building. The angles of elevation and depression of the top and bottom of a lighthouse from the top of a 60 m high building are 30° and 60° respectively. Find (i) the difference between the heights of the lighthouse and the building. (ii) the distance between the lighthouse and the building. OR The ratio of the height of a light house and the length of its shadow on the ground is √3 : 1 What is the angle of elevation?

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3. Case Study - 1 Lakshaman Jhula is located 5 kilometers north -east of the city of Rishikesh in the Indian state of Uttarakhand. The bridge connects the villages of Tapovan to Jonk. Tapovan is in Tehri Garhwal district, on the west bank of the river, while Jonk is in Pauri Garhwal district, on the east bank. Lakshman Jhula is a pedestrian bridge also used by motorbikes. It is a landmark of Rishikesh. A group of Class X students visited Rishikesh in Uttarakhand on a trip. They observed from a point (P) on a river bridge that the angles of depression of opposite banks of the river are 60° and 30° respectively. The height of the bridge is about 18 meters from the river. Based on the above information

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4. A person/observer on the sea coast observes two ships in the sea, both the ships are in same straight path one behind the other. If the observer is on his building of height 20 meters (including observer) and he observes the angle of depression of two ships as 45° and 60° respectively. On the basis of above information

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5. Case Study - 1 Anita purchased a new building for her business. Being in the prime location, she decided to make some more money by putting up an advertisement sign for a rental ad income on the roof of the building. From a point P on the ground level, the angle of elevation of the roof of the building is 30° and the angle of elevation of the top of the sign board is 45°. The point P is at a distance of 24 m from the base of the building. On the basis of the above information,

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