Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Step-by-step explanation:
step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)
step 2. x + 90 + 127 = 360
step 3. x + 127 = 270. (subtract 90 on both sides)
step 4. x = 143° (subtract 127 on both sides)
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft
The rise of -7 means that there is 7 less. The fall of 7 would mean that it is also 7 less. So, yes. They are both the same thing.
