Answer:
c. 47.7 m
Step-by-step explanation:
If you draw a right triangle to represent the problem, the catheti are the vertical distance from the bird's eyes to the field mouse and the separation from the field mouse to the base of the tree. The 50° of depression is measured from the horizontal in clockwise, the angle that summed with the 50° of the depression can be called α. Then:
α+50=90
α=90-50=40°
The trigonometric function than relates te two catheti with the angle α is:
tan(α)=opposite/adjacent
tan40=40/x
x=40/tan40=40/0.8390=47.7m
Answer:
Step-by-step explanation:
we have the expression:
To factor this expression we need to indentify the components that are common in both terms.
At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:
so we can substitute this into the expression:
and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:
Answer:
No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.
Step-by-step explanation:
Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).
- we can use 7 and 10 interchangeably.
Fill in the equation,
where c = 12, and a or b = 7 or 10.
To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.
Therefore, or
==> 49 + b^2 = 144 ==> <u>b= </u>
<u> ==> </u><u>9.746</u>
b= 9.7, not 10.
==> 100 + b^2 = 144 ==> <u>b = </u>
<u> ==> </u><u>6.633 </u>
b= 6.6, not 7.
Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.
Hope this helps!