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

 

ANSWER:- 1366 m

Class 10 Math Trigonometry and Height and Distance Written Test FM 30

 

Class 10 Trigonometry and Height and Distance Written Test FM 30

 

ANSWER 

2.
Class 10 | Height and Distance | The angles of elevation of the top of a tower from two points at distances ‘a’ and ‘b’ metre from the base and in the same straight line with it, are complementary. The height of the tower is:

3. Prove that :  (sinA-cosA+1/SinA+cosA-1) = cosA/1-sinA

4.
Class 10 Math ICSE SELINA EX 21A Question 42

5.
If sin theta + cos theta = sqrt3 then find, tan theta + cot theta

7.
tan theta = cot 3theta then find the value of sin 2theta

11.
From a point, 36 m above the surface of a lake, the angle of elevation of a bird is observed to be 30o and the angle of depression of its image in the water of the lake is observed to be 60 degree . Find the actual height of the bird above the surface of the lake.

Two poles of equal height are standing opposite to each other on either side of a road which is 100 m wide. Find a point between them on road, angles of elevation of their tops are 30 Degree and 60 Degree

 

Class 10 | Height and Distance | The angles of elevation of the top of a tower from two points at distances ‘a’ and ‘b’ metre from the base and in the same straight line with it, are complementary. The height of the tower is:

 

Class 10 | Height and Distance | A vertical tower stands on horizontal plane and is surmounted by a vertical flagstaff of height h metre. At a point on the plane, The angle of elevation of the bottom of the flagstaff is α and that of the top o flagstaff is β . Prove that the height of the tower is htanα/tanβ−tanα

 

The elevation of the tower at a station A view North of it is alpha and station view West of A is beta . Find that the height of the tower | Class 10 Height and distance

 

Class 10 | Trigonometry Test FM 30

 

QUESTION NO 2 IS WRONG YOU HAVE TO PROVE IT 1 

Class 10 ICSE SELINA MATH HEIGHT AND DISTANCE EX 22C QUESTION 15 | From a point, 36 m above the surface of a lake, the angle of elevation of a bird is observed to be 30o and the angle of depression of its image in the water of the lake is observed to be 60 degree . Find the actual height of the bird above the surface of the lake.