1)I have a right triangle. the hypotenuse is 7 the opposite leg is x and an angle is 32.
Which equation can be used to find x?
A)sin32=x/7
B)cot32=7/x
C)tan32=x/7
D)cos32=x/7
I chose D
2)A right triangle 26 is the hypotenuse,opposite leg is 15.
Find A to the nearest degree.
A)55
B)30
C)35
D)60
I chose C
1 disagree
Sin 32 = opposite / hypotenuse
sin 32 = x / 7
2
sin A = 15/26
sin A = .577
A = 35.23 agree choose C
Jon,
I made a mistake.
Sorry!
sine = OPP/HYP NOT tangent.
It was a simple mistake.
Damon got it right.
Thanks, Damon!
1) To solve for x, we need to use trigonometric functions. In this case, we have the opposite leg (x) and an angle (32 degrees). We can use the sine function to find x.
The equation for sine is sin(angle) = opposite/hypotenuse.
So, the equation that can be used to find x is:
A) sin32 = x/7.
2) To find angle A, we need to use the inverse sine function also known as arcsine. The equation for finding angle A is:
angle A = sin^(-1)(opposite/hypotenuse).
So, to find angle A using the given information:
A) angle A = sin^(-1)(15/26).
To find the value of angle A, evaluate this expression using a calculator. The answer will be the nearest degree. In this case, you chose C) 35 as the answer.
For question 1, we need a trig function that equals opposite over hypotenuse.
Which one?
Tangent = OPP/HYP
To find x we use CHOICE (C).
============================
For question 2, we are looking for angle A.
We use tan(A) = OPP/HYP
tan(A) = 15/26
Since we are looking for an angle, we MUST use the inverse key. Keep that in mind!
Let arc = INVERSE
Then tanarc = the inverse of tangent
A = tanarc(15/26)
A = 29.98163937
When we round the decimal number above to the nearest degree, we are really rounding the whole number (our 29) to the nearest tens place.
What is 29 rounded to the neaesrt tens place?
Final Answer: 30....Choice (B)
Done!