A right triangle has an angle that measures 55 degress. The leg adjacent to this angle has a length of 43 cm. What is the length of the triangle? Round to the nearest tenth

Triangle ABC,

angle A = 55 deg
side b = 43

tan A = op/adj = a/b = a/43
tan 55 = a/43
a = 43 * 1.4281
a = 61.4083

cos 55 = adj/hyp = b/c = 43/c
cos 55 = 43/c
c = 43/0.5736
c = 74.9651

I'll let you finish (not sure what 'length of triangle' is)
Length of triangle = ?

i want to know whats the Length of triangle

To find the length of the hypotenuse of a right triangle, you can use the trigonometric function cosine (cos).

In this case, we know the measure of one angle, which is 55 degrees, and the length of the adjacent leg, which is 43 cm. To use the cosine function, we need to identify which side of the triangle is adjacent to the given angle.

The adjacent side is the side that connects the given angle to the right angle in the triangle. In this case, the given angle is 55 degrees, so the side adjacent to this angle is the leg with a length of 43 cm.

Using the cosine function, we can set up the equation:

cos(angle) = adjacent/hypotenuse

cos(55 degrees) = 43 cm/hypotenuse

To find the hypotenuse, we need to isolate it in the equation. We can rearrange the equation as follows:

hypotenuse = adjacent/cosine(angle)

Plugging in the given values:

hypotenuse = 43 cm / cos(55 degrees)

To find the value of cosine(55 degrees), we can use a calculator or a trigonometric table. In this case, cosine(55 degrees) is approximately 0.574.

Substitute this value into the equation:

hypotenuse ≈ 43 cm / 0.574

Calculating this expression:

hypotenuse ≈ 74.9 cm

Therefore, the length of the hypotenuse, rounded to the nearest tenth, is approximately 74.9 cm.