I think it should be answer D) I think I think
Figure definitely not to scale.
That's the 3/4/5 right triangle and we're after the larger of the acute angles, opposite 4. AP physics calls that angle 53 degrees, but that's really an approximation.
x = arcsin(4/5) = 53.13 degrees
Answer: 53.13
Answer:
B.) 162 miles
Step-by-step explanation:
It really helps to draw a model when you are working with these. After having drawn a model, you can see that a right triangle was made, with the distance from Sameer's house to his cousin's being the hypotenuse. So, you can use the Pythagorean theorem:
Solve for c. Fill in values:
Evaluate exponents:
Simplify addition:
Find the square of both sides:
Flip
Round to the nearest mile
Done.
1. Since we have <span>two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:
</span>
<span>
We can conclude that the length of the side BC is </span>
.
2. To find the area of triangle ABC we are going to use Heron's formula:
where
is the area of the triangle
is the semi-perimeter of the triangle
But first, we are going to find the semi-perimeter of our triangle using the formula:
We can infer for our triangle and from our previous calculation that
,
, and
. Lets replace those values to find the semi-perimeter of our triangle:
Finally, we can use Heron's formula to find the area of our triangle:
We can conclude that the area of our triangle is
10.42 square units.
35 is greater than
36 is equal to