Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
__
After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.
Answer: x=158
Explain: 3 triangle corners = 180
180-90-68 = 22
Flat corner = 180
=> x=180-22=158
Call the number of trumpet players "T" and the number of horn players "H".
We can use the given information to set up equations:
1."<span>the number of trumpet players is 4 times the number of French horn players"
2. "</span><span>There are 35 trumpet and French horn players in the band."
If you were asked to solve you could now do it by substitution:
</span>
Option A: 156 + 179 + 25 + 25 = $385
Option B: 334 + 15 + 15 = $364
Option B is cheaper. 10% of $364 is $36.40. That is what you would save with the third option.
