Answer: 55
Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.
Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.
Thus, we could label the points A, B, and C, and set up an algebraic expression.
Let A = 27, B = 98, and C = x.
A + B + C = 180°.
Substituting A, B, and C we get:
27 + 98 + x = 180°.
Adding, we get:
125 + x = 180°
Subtracting 125 by 180, we get:
x = 55°
Thus, the angle X is 55°.
We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.
Take a look at the photo attached.
Answer:
Maria is right
Height=265 ft
Step-by-step explanation:
In the attached diagram, the length of the kite is BC and the height of the Kite above the ground is CE.
Now, CE=CD+DE
DE=5 ft
Next, we have to determine the length of CD.
In Triangle BCD

Therefore:
CE=260+5=265 ft
From the above, we see that <u>Maria is right.</u>
Billy erroneously applied the wrong trigonometric ratio (Cosine) which made him get a value of 150ft.
Since w is 22, you substitute w with 22. 30(22) + 70 equals 730 calories