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3 years ago

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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$\vec v(t)=\left(\langle250,450,500\rangle+\langle0,2.5u,-gu\rangle\bigg|_0^t\right)\dfrac{\rm m}{\rm s}$

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