a woman standing 14m away from a cliff observes that the angles of elevation of the top and bottom of a vertical pole mounted on top of the cliff are 65 degree and 58 degree respectively. find the height of the pole​

Respuesta :

The height of the pole mounted on top of the cliff is 7.6 meters,

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the cliff, hence:

tan(58) = h/14

h = 22.4 meter

Let h' be the height of the cliff and pole, hence:

tan(65) = h'/14

h' = 30 meter

height of pole = 30 - 22.4 = 7.6 meter

The height of the pole mounted on top of the cliff is 7.6 meters,

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