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What is h, the height of the tree? use the law of sines to first find at. then use that measure to find the value of h. 3.0 yards 3.2 yards 3.8 yards 4.4 yards

Sagot :

akposevictor

Applying the sine ratio and the law of sines, the value of h in the diagram is: B. 3.2 yards.

What is the Sine Ratio?

Sine ratio for solving a right triangle is: sin ∅ = opp/hyp.

Let's find AT in triangle BAT using the given Law of Sines:

m∠BTA = 180 - (180 - 57) - 46 = 11°

AB = 1 yd

m∠ABT = 46°

Using the law of sines, we have:

sin(m∠ABT)/AT = sin(m∠BTA)/AB

Plug in the values

sin(46)/AT = sin(11)/1

AT = sin(46) × 1 / sin(11)

AT = 3.8 yards

Find h using the sine ratio:

∅ = 57°

Opposite = h

Hypotenuse = AT = 3.8 yards

Substitute

sin 57 = h/3.8

h = sin 57 × 3.8

h ≈ 3.2 yards.

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ1

View image akposevictor
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