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24. A cat is stuck in a tree in Steve's yard. The cat's angle of depression looking
down at Steve is 72 degrees. If you are standing 15 ft from the base of the tree,
how high up in the tree is the cat?​

Respuesta :

Answer:

46 feet

Step-by-step explanation:

In Right triangle ABC,

Angle C= Angle B (Alternate Angles)

We want to determine the height of the tree, |AB|

[tex]Tan \theta =\dfrac{Opposite}{Adjacent} \\Tan 72^0 =\dfrac{|AB|}{15} \\|AB|=15*Tan 72^0\\=46.17 \approx 46 feet[/tex]

The cat is approximately 46 feet high up the tree.

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