Question

a trolly runs on a 340metre long cable which joins two hill tops 1,872m above sea level and 2,032m above sea level.Find the horizontal distance between the hills

Answer 1

Answer:

Step-by-step explanation:

P=2032-1872=160m

h=340m (given)

Horizontal distance = b=root under 340×340-160×160

=root under 11560-25600

=root under 90000

=300m

Answer 2

Dear Student,

● Answer -

Horizontal distance between two hills = 300 m

● Explanation -

Difference between height of two hill tops is -

h = 2032 - 1872

h = 160 m

Let x be horizontal distance between two hills and l be distance travelled by trolley.

Applying Pythagorean theorem -

l^2 = h^2 + x^2

340^2 = 160^2 + x^2

x^2 = 340^2 - 160^2

x^2 = 115600 - 25600

x^2 = 90000

x = 300 m

Hence, horizontal distance between two hills is 300 m.

Thanks dear. Hope this helps you...