Can you take a more clear photo ?
I added a screenshot with the head of the question
Answer:sin (140°)
Explanation:Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)
Answer:
Step-by-step explanation:
Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
3x-12>15
3x>15+12
3x÷3>27÷3
x>9