a. θ = 36. 9°
b. θ = 114. 2°
<h3>How to determine the value of theta</h3>
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
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Answer:
the answer is c 162
Step-by-step explanation:
formula for triangular prism: 1/2*b*h1*h2
substitute the values into the formula:
6*3*18=324
324/2=162
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Answer:
c is the answer
Step-by-step explanation:
Answer: tangent
Step-by-step explanation: from the diagram the adjacent and the opposite are given. From SOHCAHTOA , tan is the only trig ratio with opposite and adjacent.
Thus tan teta= opposite÷adjacent
tan teta= 3÷6= 0.5
teta=tan invers of 0.5
=26.6°
Answer: the is B
Step-by-step explanation: