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Papessa [141]
3 years ago
9

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80. What ratio represents the cotangent of ∠G?

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Given:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.

To find:

The ratio which represents the cotangent of ∠G.

Solution:

In a right angle triangle, the ratio of the cotangent of an angle is

\cot \theta =\dfrac{Base}{Perpendicular}

It is also written as

\cot \theta =\dfrac{Adjacent}{Opposite}

In ΔFGH, the measure of ∠H=90°. So,

\cot G =\dfrac{HG}{FH}

\cot G =\dfrac{80}{39}

Therefore, the ratio for the cotangent of ∠G is \cot G=\dfrac{80}{39}.

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