Answer:
24.8
Step-by-step explanation:
We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .
→ 'x' is the hypotenuse
→ 12 is opposite
→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so
Sin = Opposite ÷ Hypotenuse
Hypotenuse = Opposite ÷ Sin
→ Let's substitute in the values
Hypotenuse = 12 ÷ Sin(29)
Hypotenuse = 24.7519841
So the value of x is 24.8 to 1 decimal place
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
- tanA = opposite/adjacent
Now that we know three basic ratio. Let's check each choices!
This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
This choice is correct! As ratio states, tanA = opposite/adjacent.
This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
Questions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
Answer:
I'm pretty sure that the answer is 5. Correct me if i'm wrong
Step-by-step explanation:
Answer: 0 - 4
Step-by-step explanation:
0 - 4 = -4
-3 + 4 = 1
1 - 5 = -4
