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3 years ago

NUMBER 4 DO ANYONE KNOW IT PLEASE HELP

Mathematics

1 answer:

ss7ja [257]3 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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