We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
Y - y1 = m(x - x1)
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
answer: equation y = 2x - 1
Given :
The original price of the jeans was $56.
The store had marked them down by 25 percent and Seema had a 20 percent off coupon as well.
To Find :
The price of the jeans before tax.
Solution :
Discount offered by store :
Discount = 0.25×56 = $14 .
Selling price = $( 56 - 14 ) = $42 .
Discount offered through coupon on selling price :
Discount = 0.20×42 = $8.4 .
Final price = $( 42 - 8.4 ) = 4= $33.6 .
Therefore, the price of the jeans before tax is $33.6 .
Hence, this is the required solution.
Since we know that the hypotenuse is 11 and this is a 30 - 60 - 90 right triangle we can use 11 to find the other sides.
The hypotenuse is 2s, s is the 30 side length.
So s = 11 / 2 = 5.5
The 60 side is s * square root of 3.
5.5 * square root of 3 = about 9.5.
Now that we know all three sides we can add them together to get the perimeter.
11 + 5.5 + 9.5 = 26
:)))