Answer:
<em>The height of the tree is 19.81 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:

Solving for X

Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m
Answer: 9lb 3oz
Step-by-step explanation:
1. Add the pounds together first: 8lb
2. Then the ounces but there is over 16 ounces and 16 ounces make a pound. There is 19 ounces. So you can make ONE extra pound out of the 19 ounces. You would subtract: 19-16.
3. You have 3 left over: You can't make another pound so leave it as it is.
4. Add the extra pound to the 8 pounds and you have 9.
5. Then put the ounces with it and the answer is : 9lb 3oz
-4, -5
-3, -3
-2, -1
-1, 1
0, 3
Answer:
$690
Step-by-step explanation:
600 [1 + (0.03 * 5)]= 690
Answer:
C. 24
Step-by-step explanation:
4!=24
Apply factorial rule: n! = 1 * 2 * 3 * ... * n
4! = 1 *2 * 3 * 4
1 *2 * 3 * 4 = 24
4! = 1 *2 * 3 * 4 = 24
4!=24