Answer: 5
Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.
Answer:
Step-by-step explanation:
Need the diagram for reference in order to answer...........
Answer: Switch a with c and you are good. I think that is what you are asking?
Step-by-step explanation:
Answer:The tree is 186.6 feet tall.
Step-by-step explanation:SOH-CAH-
T
OA
\text{tan }\color{purple}{64}=\frac{\color{green}{\text{opposite}}}{\color{blue}{\text{adjacent}}}=\frac{\color{green}{x}}{\color{blue}{91}}
tan 64=
adjacent
opposite
=
91
x
\text{tan }64=
tan 64=
\,\,\frac{x}{91}
91
x
\frac{\text{tan }64}{1}=
1
tan 64
=
\,\,\frac{x}{91}
91
x
91\text{ tan }64=
91 tan 64=
\,\,x
x
Cross multiply.
x=186.577649...\approx186.6
x=186.577649...≈186.6
Type into calculator and round to the nearest tenth.
\text{The tree is 186.6 feet tall.}
The tree is 186.6 feet tall.