Heyo Kiddo. How are you doing today?
Let's figure this out.
So, if "one number is p," then we can say the other number can represent the variable z.
We can conclude that: p + z = 45
For us to solve for z :
p + z = 45
- p -p
So then,
z = 45 - p
You're welcome. :)
If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.
Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and

. Now lets apply the Pythagorean theorem:

, to find our hypotenuse:




Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call

.
Remember that

, so:



Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle

:



We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.
Answer:
69.282 m
Step-by-step explanation:
We can use the trigonometry of right triangles to solve this, since we are in the presence of a right triangle with acute angle 30 degrees, opposite side unknown (the vertical height of the cliff), and adjacent side equal to 120 m.
we use the tangent function to solve for the unknown, as shown below:
tan(30) = x/120
x = 120 * tan(30) = 69.282 m
Answer:
Do u know the answer
Step-by-step explanation: I am doing a test pls help