Which angle has a tangent value of 7/24 ?

∠a

∠c

∠b

Explanation:

x = length of segment BC

Use the pythagorean theorem to find that

a^2+b^2 = c^2

x^2+24^2 = 25^2

x^2+576 = 625

x^2 = 625-576

x^2 = 49

x = sqrt(49)

x = 7

Segment BC is 7 units.

The tangent of an angle is equal to the ratio of the opposite over adjacent.

In terms of an equation,

tan(angle) = opposite/adjacent

Replace "opposite/adjacent" with 7/24

tan(angle) = 7/24

Note how the 7 matches up with BC and the 24 matches up with BA

This means,

tan(angle) = 7/24 = BC/BA

If angle A is the reference angle, then BC is the opposite side and BA is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/BA

tan(A) = 7/24

answer: x

step-by-step explanation:

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step-by-step explanation: