<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;

Dividing, we get;

Taking
on both sides of the equation, we get;


Rounding off to the nearest whole integer, we get;

Thus, the value of x is 48°
Hence, Option c is the correct answer.
<span>35.99 = 33 and 99/100</span>
Answer: 3^15
Step-by-step explanation:
Explained in attached picture. Hope you'll find it easy to understand. If not, you can comment :)
Answer:
a) "ascend"
Step-by-step explanation:
a)
The equation is 
This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]
So, this is the negative of partial derivative of y. Thus we have:

Now we are at (100,120,1106), we take y value of 120 and put it in the partial:

We take the negative, that is -(-2.4) = 2.4
Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.