<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Answer:
The value of x = 8.1 units
Step-by-step explanation:
<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Given
Angle Ф = 32°
To determine:
x = ?
Using the trigonometric ratio
tan Ф = opposite / adjacent
here
Ф = 32°
opposite to angle 32° = x
adjacent to angle 32° = 13
Therefore,
substituting adjacent = 13, Ф = 32°, opposite = x in the equation
tan Ф = opposite / adjacent
x = 8.1 units tan 32° = 0.62
Therefore, the value of x = 8.1 units
The answers are in the introverts with 80 and 2% ferinheit or celcius
The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
<h3>How to use cosine rule?</h3>
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
Read more about cosine rule at; brainly.com/question/4372174
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Hello there! So if we are looking for the number of miles in 584 kilometers, then all we have to do is divide, because there are about 1.61 kilometers in 1 mile. Dividing those two numbers of the same unit will help us convert to miles. 584/1.61 is 362.7329193 or 362.73 when rounded to the nearest hundredth. There. There are about 362.73 miles in 584 kilometers.
