SOLUTION: 1.If you are given an acute angle and the measurement of the adjacent
side of that angle, what trigonometric function could you readily use
to find the length of the hypotenuse o
Algebra.Com
Question 878308: 1.If you are given an acute angle and the measurement of the adjacent
side of that angle, what trigonometric function could you readily use
to find the length of the hypotenuse of the right triangle?
a. sine
b. cosine
c. tangent
d. cosecant
2. If you are given an angle and the measurement of the hypotenuse of
a right triangle, what trigonometric function could you readily use to
find the length of the opposite side to that angle?
a. sine
b. cosine
c. tangent
d. cosecant
Found 2 solutions by ewatrrr, Theo:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
1) cos A = adj/hyp
2) sin A = opp/hyp
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
1.If you are given an acute angle and the measurement of the adjacent
side of that angle, what trigonometric function could you readily use
to find the length of the hypotenuse of the right triangle?
a. sine
b. cosine
c. tangent
d. cosecant
you would use the cosine function.
if you let x = the angle, then:
cosine (x) = adjacent side / hypotenuse
multiply both sides of this equation by the hypotenuse and you will get:
cosine (x) * hypotenuse = adjacent side.
divide both sides of this equation by cosine (x) and you will get:
hypotenuse = adjacent side / cosine (x)
since you are given the angle of x and the length of the adjacent side, you can solve for the length of the hypotenuse using this formula.
-----------------------------------
2. If you are given an angle and the measurement of the hypotenuse of
a right triangle, what trigonometric function could you readily use to
find the length of the opposite side to that angle?
a. sine
b. cosine
c. tangent
d. cosecant
you would use the sine function.
if you let x represent the angle, then the formula for sine of x becomes:
sine (x) = opposite side divided by hypotenuse
multiply both sides of this equation by the hypotenuse and you get:
hypotenuse * sine(x) = opposite side.
this is the same as:
opposite side = hypotenuse * sine (x)
since you are given the length of the hypotenuse and the angle of x, you can solve for the length of the opposite side using this formula.
RELATED QUESTIONS
If you are given a right triangle with an acute angle ((((theta))), what two... (answered by edjones)
Explain (suggested length 1–2 paragraphs) how the functions and definitions in parts A1... (answered by richard1234)
Let theta be an acute angle. Use the given function value and trigonometric identities to (answered by lwsshak3)
If you're given that tan θ = 7/2 and θ is an acute angle, locate the 5... (answered by Cromlix)
Acute angle with angle K = 79 degrees and side DZ = 66 and side KZ = 40.5. What is the... (answered by Alan3354)
Given that theta is an acute angle and tan theta equals u, find the other trigonometric... (answered by stanbon)
What is the measurement of each acute angle of a right triangle if they are represented... (answered by jojo14344)
I have a right angled triangle whose opposite and adjacent sides are given. Opposite side (answered by Boreal)
If the measurement of angle A is = 2x + 5
Measurement of angle B is = 3x - 10
And the (answered by Theo)