For this case we have the following equation:
We apply distributive property on the left side of the equation:
We simplify the left side of the equation:
Different signs are subtracted and the major sign is placed.
On the right side we must take into account that:
So:
We add x to both sides of the equation:
We subtract 2 from both sides of the equation:
We multiply by 3 on both sides of the equation:
We divide by 8 on both sides of the equation:
Thus, the solution of the equation is:
Answer:
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Step-by-step explanation:
