Find angle A in the following triangle. A. 35.54 B. 35.67 C. 36.24 D. 36.77
2 answers:
Answer:
A. 35.54
Step-by-step explanation:
To find the angle A in the diagram above, we will simply use angle formula, we will check and see which angle formula will be best fit to use.
The formulas are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cos Ф = adjacent / hypotenuse
tan Ф = opposite / adjacent
Looking at the figure given, since we are to find angle A, then our adjacent is 7 and the opposite is 5.
since we are given both opposite and adjacent, then the best formula to use for this is tan Ф
tan Ф = opposite / adjacent
opposite = 5 and adjacent =7
we will go ahead and insert our values
tan A = 5/7
tan A = 0.71429
To get the value of tan A, we will simply take the of both-side
tan A =
0.71429
A = 35.54
Therefore angle A is 35.54
You might be interested in
The radius of the cylinder is 2.92 cm
<u>Explanation:</u>
Given:
Volume of cylinder, V = 193 cm³
Height of the cylinder, h = 7.2 cm
Radius of the cylinder, r = ?
We know:
Volume of cylinder = πr²h
On substituting the value we get:
Therefore, the radius of the cylinder is 2.92 cm
Answer:
Domain of y=: is x>=1
Interval notation: [1,∞)
Step-by-step explanation:
We have y=
1) The domain of a function is the set of x values for which the function is real and defined.
2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.
3) Now we solve the inequality x-1>=0
4) Adding 1 to both sides of the inequality we get,
x-1+1 > = 0+1
5) Cancel out -1 and +1 from the left side
6) We get x>=1
It concludes that for the domain of the given function, the x value must be greater than or equal to 1