Answer:
AC ≈ 2.87
Step-by-step explanation:
Using the sine ratio in the right triangle
sin35° = 
= 
= 
Multiply both sides by 5
5 × sin35° = AC , thus
AC ≈ 2.87 ( to the nearest hundredth )
Answer:
x = -8
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides:
3x + 12 (-12) = -12 (-12)
3x = -12 - 12
3x = -24
Next, divide 3 from both sides:
(3x)/3 = (-24)/3
x = -24/3
x = -8
x = -8 is your answer.
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Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
