Picture a right triangle whose hypotenuse is of unknown length. Let's call that length L. The triangle side opposite the 70 degree angle is then 20 feet. I'd suggest you actually draw this triangle.
Then, using the definition of the sine function,
sin 70 deg = opp / hyp = (20 ft) / L. Transforming this equation, L sin 70 deg = 20 ft. Solving for L:
L = (20 ft) / (sin 70 deg) = 21.28 ft
The ladder length must be 21.28 ft.
Given the measure of angle B, side b and side, the measure of angle C to the nearest whole number is 43 degrees.
<h3>
What is the measure of angle space C?</h3>
From the Rule of Sine;
sinA/a = sinB/b = sinC/c
Where A,B and C are the angles of the triangle and a, b and c are the corresponding opposing sides.
Given that;
- Angle B = 18°
- side b = 9
- side c = 20
- Angle C = ?
Using the rule of sine.
sinB/b = sinC/c
We substitute the given values into the equation
sin( 18° )/9 = sinC/20
We solve for C.
sin( 18° ) × 20 = sinC × 9
0.309016994 × 20 = sinC × 9
6.18033988 = sinC × 9
Divide both sides by 9
6.18033988/9 = (sinC × 9)/9
sinC = 0.686704431
C = sin⁻¹( 0.686704431 )
C = 43.3697°
C = 43°
Given the measure of angle B, side b and side, the measure of angle C to the nearest whole number is 43 degrees.
Learn about cosine rule here: brainly.com/question/20839703
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Answer:
Step-by-step explanation:
An easy way to find the GCF of different numbers is to list out all of their factors. In this case, the coefficients share multiple factors, but the largest is 9.
Additionally, when dividing variables with different powers you subtract the exponents. So, if you were to divide 
the final answer would be 
because 3-2 is 1. So, to find the GCF of like variables find the biggest number that can be subtracted from all of them. In this case, that is 2; therefore, the GCF of the variables is 
. Put the 2 parts together for the final answer .
