Application Of Trigonometric Ratios: Height And Distance

Application of Trigonometric Ratios: Height and Distance

Q- From a point on the same plane along the horizontal line passes through the foot of a chimney, the angle of elevation of the top of the chimney is 30 ° and the angle of elevation of the top of the chimney is 60 ° at a point on the same straight line proceeding 50 meters to the chimney. Let u write by calculating the height of the chimney.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- A vertical pol of 126 dm height was bent at some point above the ground and it just touched the ground making an angle of 30 ° with the ground. Let u write by calculating what height was post bent and at what distance did it meet the ground from the foot of the post.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- Mohit, standing in the midst of a field, observes a flying bird in his north at an angle of elevation of 30 ° and after 2 minutes he observes the bird in his south at an angle of elevation of 60 °. If the bird flies in a straight line all along at a height of 50 √ 3 meters, let us find it speed in kilometer per hour.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- A bridge is situated at right angle to the bank of the river. if one moves away a certain distance from the bridge along this side of the river, the other end of the bridge is seen at an angle of 45 ° and if someone moves a further distance of 400 meters in the same direction, the other end is seen at an angle of 30 °. Let us find the length of the bridge.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- The heights of two towers are 180 meters and 60 meters respectively. If the angle of elevation of the top of the first tower from the foot of the second tower is 60 °, let us write by calculating what is the angle of elevation of the top of the second tower from the foot of the first.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- A passenger of on aero plane observes that Howrah station is at one side of the plane and Saheed minar Is just opposite side. The angle of depression of Howrah station and Shaheed minar from the passenger of aero plane are 60 ° and 30 ° respectively. If the aero plane is at a height of 545 √3 meters at that time, let us find the distance between Howrah station and Shaheed minar.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- I am flying a kite having the length of thread 250 meters, when the threads make an angle 60 ° with the horizontal line, and when the thread make an angle of 45 ° with the horizontal line, let us write by calculating in each case what is the height of kite from me. Let us find in which of the two cases will be kite be at a greater height from the other.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- The length of shadow of a tower standing on the ground is found to be 60 meters more when the sun’s angle of elevation changes from 30 ° to 60 °, let us find the height of the tower.

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- The length of the flag at the roof of three-storied building in 3.3 meter from any point of road the angles of elevation of the top and foot of the flag post are 50° and 45 °. Let us write by calculating the height of three-storied building. [Let, tan50 °=1.192]

Chapter: Application of Trigonometric Ratios: Height and Distance

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Q- The length of the shadow of a post becomes 3 meters smaller when the angle of elevation of the sun increases from 45 ° to 60 °. Let us find the height of the post. [ Let us find the approximate value correct up to three decimal places, assuming [√3 = 1.732 approx.]

Chapter: Application of Trigonometric Ratios: Height and Distance