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A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°

Respuesta :

samiyahskyers

Answer:

we have the same question

Step-by-step explanation:

please tell me what you got when you receive an answer

HermanSlader

Answer:

30 degrees

Step-by-step explanation:

we need to compute angle A and angle B (see figure below)

hence,

[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]

this implies that A=60 degrees.

Since interior angles of a triangle add up 180 then,

A+B+90=180

60+B+90=180

B+150=180

B=180-150

B=30 degrees

which is the smallest angle

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