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snow_lady [41]
2 years ago
12

NUMBER 4 DO ANYONE KNOW IT PLEASE HELP

Mathematics
1 answer:
ss7ja [257]2 years ago
7 0

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

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

Substituting the given values we get

\tan 26 = \frac{AB}{BC}=\frac{AB}{85}

\therefore AB=85\times 0.4877=41.45=41.5\ meters

The Height of the cliff is 41.5 meters tall.

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