What is the length of EF in the right triangle below?
1 answer:
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Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) =
=
=
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) =
=
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) =
=
=
=
Picture 5
In ΔABC,
tan(63°) =
tan(63°) =
AB =
AB =
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.