The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
Answer:
The given Divisor = 21 and Dividend = 91403
43522191403847463110105534211
The Quotient is 4352 and the Remainder is 11
Answer:
P' (- 7, - 5 )
Step-by-step explanation:
A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus
P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 7, 5 ) → P'(- 7, - 5 )
$270 equals 135% of the original price
270/x=135/100
135*2=270
100*2=200
Final answer: $200
The angle of depression is
tan^-1 3/7 = 23.2 deg