Answer:
go to algebra answers.com
Step-by-step explanation:
Answer:
it is 27
Step-by-step explanation:
The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
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Answer:
h = 7.47 m
Step-by-step explanation:
According to the question, we have a right triangle formed by the ladder with the wall and the floor.
The length of the ladder is the hypotenuse and the desired height is the opposite. This is due to the fact that "the ladder makes an angle of 21" 27" with the horizontal". Then, the trigonometric ratio to use is sine:

Using the values given:

Multiplying both sides by 14.5:


Then h = 7.47 m