D. 11,75 m
Penjelasan dengan langkah-langkah:
Diketahui:
jarak pengamat = 10 meter
tinggi pengamat = 1,75 m
[tex]\displaystyle\sf~ \theta [/tex] = 45°
Ditanya:
tinggi menara = ....?
Penyelesaian:
[tex]\begin{aligned} \displaystyle\sf~ tan~\theta & = \displaystyle\sf~ \frac{depan}{samping} \\ \\ \displaystyle\sf~ tan~45°& = \displaystyle\sf~ \frac{a}{10} \\ \\ 1 & = \displaystyle\sf~ \frac{a}{10} \\ \\ \displaystyle\sf~a & = \displaystyle\sf~10\end{aligned}[/tex]
tinggi menara
= a + tinggi pengamat
= (10 + 1,75)m
= 11,75 m
(Opsi D)
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D. 11,75 m
Penjelasan dengan langkah-langkah:
Diketahui:
jarak pengamat = 10 meter
tinggi pengamat = 1,75 m
[tex]\displaystyle\sf~ \theta [/tex] = 45°
Ditanya:
tinggi menara = ....?
Penyelesaian:
[tex]\begin{aligned} \displaystyle\sf~ tan~\theta & = \displaystyle\sf~ \frac{depan}{samping} \\ \\ \displaystyle\sf~ tan~45°& = \displaystyle\sf~ \frac{a}{10} \\ \\ 1 & = \displaystyle\sf~ \frac{a}{10} \\ \\ \displaystyle\sf~a & = \displaystyle\sf~10\end{aligned}[/tex]
tinggi menara
= a + tinggi pengamat
= (10 + 1,75)m
= 11,75 m
(Opsi D)