hurry please! 20 points. Find the measure of angle θ. Round your answer to the nearest tenth place.

Angle θ would be about 17.1 degrees.

Step-by-step explanation:

To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².

c = √4² + 13²

Square 4 and 13 to get 16 and 169 respectively.

c = √16 + 169

Add 16 and 169 to get 185.

c = √185

Find the square root of 185 (I'll round to the nearest tenth.)

c = 13.60147 ≈ 13.6 units

To find angle β, divide AC by AB and find the inverse sine of that.

β = arcsin(13/13.6)

Divide 13 by 13.6. Round to the nearest thousandth.

β = arcsin(0.955)

β ≈ 1.2723 rad

To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.

β ≈ (1.2723 * 57.2957795)°

β ≈ 72.8974203 ≈ 72.9 degrees

Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.

25

step-by-step explanation:

i think this could be a possible answer (1 / 84) -1

good luck! : d