MEDIUM
10th CBSE
IMPORTANT
Earn 100

From a point on a bridge across a river the angles of depression of the banks on opposite side of the river are 30° and 45° respectively. If bridge is at the height of 30 m from the banks and the width of the river is of the form a(1+b) m, then what is the value of b? 

50% studentsanswered this correctly

Important Questions on Height and Distance

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 32
Two poles of equal heights are standing opposite each other an either side of road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the sum of the height of one of the poles and the distance of the point from each of the poles (Exclude units). (Take 3=1.73)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 33
A man sitting at a height of 20 m on a tall tree on a small island in the middle of a river observes two poles directly opposite to each other on the two banks of the river and in line with the foot of tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the tree on either side of the river are 60° and 30° respectively. If the width of the river rounded off to two decimal places is equal to k m, then find the value of k. (Take 3=1.732)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 34
A vertical tower stands on a horizontal plane and is surmounted by a flag-staff of height 7 m. From a point on the plane, the angle of elevation of the bottom of the flag-staff is 30° and that of the top of the flag-staff is 45°. Find the height of the tower(Exclude units).(Take 3=1.732)(Find answer correct upto 2 decimal places)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 35
The length of the shadow of a tower standing on level plane is found to be 2x metres longer when the sun's altitude is 30° than when it was 45°. Prove that the height of tower is x(3+1) metres.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 36

A tree breaks due to the storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance from the foot for the tree to the point where the top touches the ground is 10 metres. Find the height of the tree in metres.(Write only the numeral values without units correct upto 2 decimal places) (Take3=1.732) 

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 37
A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at 60° to the horizontal. Determine the height of the balloon from the ground in metres. Assume that there is no slack in the cable. [Take 3=1.73](Write only the numeral value without units, to the closest integer)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 38
Two men on either side of the cliff, 80 m high, observe the angle of elevation of the top of the cliff to be 30° and 60° respectively. Find the distance between the two men in metres, rounded off to one decimal place. [Take 3=1.732](Write only the numeral values without units)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 39

Find the angle of elevation (in degrees) of the sun (sun's altitude) when the length of the shadow of a vertical pole is equal to its height.