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Andrei [34K]
3 years ago
10

The equation tan−1 (8.9/7.7) = x can be used to find the measure of angle LKJ.

Mathematics
2 answers:
Luden [163]3 years ago
5 0

Answer:

Yes, the given equation can be used to find the measure of angle LKJ. The measure of angle LKJ is 49 degree.

Step-by-step explanation:

It the given figure the triangle LKJ is a right angle triangle. Measure of angle B is 90 degree.

\tan\theta=\frac{perpendicular}{base}

\tan K=\frac{LJ}{LK}

\tan K=\frac{8.9}{7.7}

Using inverse trigonometry property.

K=\tan^{-1}(\frac{8.9}{7.7})

Therefore the given equation can be used to find the measure of angle LKJ.

K=\tan^{-1}(1.15584416)

K=49.1346713737\approx 49

Therefore the measure of angle LKJ is 49 degree.

NNADVOKAT [17]3 years ago
4 0
<span>tan−1 (8.9/7.7) = x can also be written as x = arctan (1.156).

Using my TI-83 calculator's inverse tangent function key, I get x = 0.858 radian.  This is equivalent to 49.135 degrees, which we must round off to the nearest whole degree:  49 degrees.</span>
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