Answer:
I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.
The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.
Step-by-step explanation:
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?
[tex]$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$[/tex]
[tex]$\text{tan}\theta=\frac{h_{B}}{35} \Rightarrow h_{B}=\text{tan}73\º \cdot 35 \Rightarrow h_{B}\approx 114.47 \text{ feet}$[/tex]
[tex]\text{Difference} \approx 16.35[/tex]
Building B is around 16.35 feet taller than building A.
A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
[tex]$\text{sin}(y)=\frac{a}{6} $[/tex]
[tex]$\text{tan}(y)=\frac{a}{b} $[/tex]
a is the opposite side; 6 is the hypotenuse; b is the adjacent side.
Therefore,
[tex]$\text{cos}(y)=\frac{b}{6} $[/tex]
If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.
This seems a bit confusing. The angles don't match. We have [tex]90\º+62\º +21\º \approx 173\º[/tex]
[tex]\text{sin}(f)=0.888...[/tex]
[tex]f \approx 62\º[/tex]
YX is the hypotenuse of the right triangle.
[tex]$\text{cos}(21\º)=\frac{24}{YX} $[/tex]
[tex]YX \approx 25.7[/tex]
Considering [tex]f \approx 69\º[/tex]
[tex]$\text{sin}(69\º)\approx\frac{24}{YX} $[/tex]
[tex]YX \approx 25.7[/tex]