Using the right triangle below, find the cosine of angle A.

Angle A = 36.87°.

Solution:

Given data:

The side opposite to angle A is a.

The side opposite to angle B is b.

The side opposite to angle C is c.

a = 6, b = 8, c = 10

Using law of cosine:

Substitute the given values in the formula,

Subtract 164 from both sides of the equation.

Divide by –160 on both sides of the equation.

Switch the sides.

A = 36.87°

Hence angle A = 36.87°.

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step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.