Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation 
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. 
And finally we have 
. We input to calculator.
See the attached picture below showing the shore with the boat out at sea and the position of the person.
Answer:
This is called transitivity property
Answer:
45 degrees
Step-by-step explanation:
All triangles equal 180 degrees so your just add the two existing angles which gets you 135 then you do 180-135, therefore giving you 45
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
= 
= .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
Answer:
If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB.Option (D) is correct.
Given:
The options are as follows,
(A). be perpendicular to AB.
(B). lie on the same line as AB.
(C). shift four units to the left.
(D). be parallel to AB.
Step-by-step explanation:
If we dilate triangle HIJ then the dilated triangle is bigger than the triangle HIJ.
The triangle HIJ is similar to triangle to each other.
So the line is parallel to side AB.
