Question

Label $\angle CBD = 34^\circ$, $\angle A = 42^\circ$, and BD = 139 on the picture. Then find $\angle ABD$ and AB rounded to tenths place.

Name: Label ∠ CBD = 34^∘, ∠ A = 42^∘, and BD = 139 on the picture. Then find ∠ ABD and AB rounded to tenths place.
Uploaded: 2024-04-22T00:37:05-08:00
Duration: 1 min 1 s
Channel: Kathleen Carty
Description: Label ∠ CBD = 34^∘, ∠ A = 42^∘, and BD = 139 on the picture. Then find ∠ ABD and AB rounded to tenths place.

          Label \(\angle CBD = 34^\circ\), \(\angle A = 42^\circ\), and BD = 139 on the picture. Then find \(\angle ABD\) and AB rounded to tenths place.

Added by Bego-A M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Kathleen Carty

04/22/2024

Step 1

Using the trigonometric ratios in $\triangle BCD$, we have: $\sin(\angle CBD) = \frac{CD}{BD}$ $\sin(34^\circ) = \frac{CD}{139}$ $CD = 139 \sin(34^\circ) \approx 139(0.559) \approx 77.7$ $\cos(\angle CBD) = \frac{BC}{BD}$ $\cos(34^\circ) = \frac{BC}{139}$ $BC = Show more…

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