Dari lantai 4 sebuah gedung Rani melihat tepi jalan di depan gedung dengan sudut depresi 80° dan 70°. Jika tinggi tiap lantai diestimasikan 4 m dan tinggi Rani 1,6 m. Tentukan lebar jalan! Tolong yaa... kalau memungkinkan bisa tolong sekalian diberi ilustrasi gambarnya? agar dapat lebih mudah dipahami.. Terimakasih!

<p>Untuk menghitung lebar jalan, kita akan menggunakan trigonometri dengan sudut depresi yang diberikan. Kita akan menggunakan rumus tangen untuk sudut depresi:</p><p>tan(θ)=lebar / tinggi​</p><p>&nbsp;</p><p>Diketahui tinggi total dari lantai ke mata Rani adalah (4 × 4 + 1.6 = 17.6 ) meter. Kita akan menghitung lebar jalan untuk kedua sudut depresi.</p><p>&nbsp;</p><p><strong>Untuk sudut depresi 80°:</strong></p><p>tan (80°) = 17.6 / lebar​</p><p>lebar = 17.6​ / tan(80°)</p><p>&nbsp;</p><p><strong>Untuk sudut depresi 70°:</strong></p><p>tan (70°) = 17.6​ / lebar</p><p>lebar = 17.6 / tan(70°)</p><p>​</p><p>menghitung lebar jalan menggunakan kalkulator trigonometri:</p><p><strong>Untuk sudut depresi 80°:</strong></p><p>lebar = 17.6​ / tan(80°) ≈ 17.6 / 5.671 ≈ 3.1&nbsp;meter</p><p>&nbsp;</p><p><strong>Untuk sudut depresi 70°:</strong></p><p>lebar = 17.6 / tan(70°) ≈ 17.6 / 2.747​ ≈ 6.4&nbsp;meter</p><p>&nbsp;</p><p>Jadi, lebar jalan yang dilihat Rani dari sudut depresi 80° adalah sekitar <strong>3.1 meter</strong> dan dari sudut depresi 70° adalah sekitar <strong>6.4 meter</strong>.</p><p>&nbsp;</p><p><strong>ILUSTRASI:</strong></p><p><br>&nbsp; &nbsp; |<br>&nbsp; &nbsp; |\<br>&nbsp; &nbsp; | \<br>&nbsp; &nbsp; | &nbsp;\<br>&nbsp; &nbsp; | &nbsp; \ &nbsp;h (17.6 m)<br>&nbsp; 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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\<br>&nbsp; &nbsp; | &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; \ Sudut 80°<br>&nbsp; &nbsp; |_______________________________________________________________________________<br>&nbsp; &nbsp; |&lt;---------------------- Lebar Jalan ----------------------&gt;|<br>Sudut 70°<br>&nbsp;</p><p>Dalam ilustrasi ini, garis vertikal dari “Rani” ke lantai menunjukkan tinggi total dari lantai ke mata Rani, yang adalah 17.6 meter. Garis miring dari “Rani” ke tepi jalan pertama menunjukkan garis pandang dengan sudut depresi 80°, dan garis miring kedua menunjukkan garis pandang dengan sudut depresi 70°. Lebar jalan adalah jarak horizontal dari gedung ke tepi jalan yang dilihat Rani. Untuk menghitung lebar jalan, kita akan menggunakan rumus tangen dari sudut-sudut tersebut.</p>