Answer:
The Height of the cliff is 41.5 meters tall.
Option B. 41.5 meters.
Step-by-step 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
[tex]\tan C = \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}[/tex]
Substituting the given values we get
[tex]\tan 26 = \frac{AB}{BC}=\frac{AB}{85}[/tex]
[tex]\therefore AB=85\times 0.4877=41.45=41.5\ meters[/tex]
The Height of the cliff is 41.5 meters tall.
