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MATH / In triangle ABC, ∠C=90^(∘) and D is the midpoint of (AC)¯. If sin∠DBC=(3)/(5), then find tan∠ABC.

Problem

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problem

In triangle ABC,ABC, ∠C=90∘\angle C = 90^\circ and DD is the midpoint of AC¯.\overline{AC}. If sin∠DBC=35,\sin \angle DBC = \frac{3}{5}, then find tan∠ABC.\tan \angle ABC.
Plain-text mathematical notation (without MathML)
In triangle ABC, ∠C=90^(∘) and D is the midpoint of (AC)¯.  If sin∠DBC=(3)/(5), then find tan∠ABC.
Original LaTeX notation
In triangle $ABC,$ $\angle C = 90^\circ$ and $D$ is the midpoint of $\overline{AC}.$  If $\sin \angle DBC = \frac{3}{5},$ then find $\tan \angle ABC.$

level

Level 2

type

Precalculus

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Source and history

task_id
45724d58-3990-5c87-9ee9-ab14421880ff
task_key
precalculus--test--45724d58-3990-5c87-9ee9-ab14421880ff
task_revision_id
1
config / split
precalculus / test

Official source

initial import