Rhombus ADEF is inscribed in △ABC such that the vertices D, E, and F lie on the sides AB , BC , and AC respectively. Find the si
de of the rhombus if AB=7 cm, BC=5 cm, and AC=8 cm.
1 answer:
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Answer:
84%
Step-by-step explanation:
Joey gives 21 correct answers out of 25 questions on a quiz.
We have to calculate the percent of Joey's correct answer.
Now, percentage of x out of y is given by the simple expression %.
Hence, the percentage of correct answer given by Joey is given by
%. ( Answer )
Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
