Question

NUMBER 4 DO ANYONE KNOW IT PLEASE HELP

Answer 1

The Height of the cliff is 41.5 meters tall.

Option B. 41.5 meters.

Explanation:

Given:

AB = 85 meter

Angle of elevation ∠ C= 26°

To Find:

Cliff height = AB = ?

Solution:

In right angle Triangle ABC by tangent Identity we have

`\tan C = \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}`

Substituting the given values we get

`\tan 26 = (AB)/(BC)=(AB)/(85)`

`\therefore AB=85* 0.4877=41.45=41.5\ meters`

The Height of the cliff is 41.5 meters tall.