Lincoln and his children went into a bakery and where they sell cookies for $1 each and brownies for $1.75 each. Lincoln has $15
2 answers:
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The height is the hypotenuse side of the right triangle formed by the
cardboard and the ropes to the top and bottom of the monument.
Correct response:
- The height of the monument is approximately<u> 14.63 feet</u>.
The possible diagram in the question as obtained from a similar question posted online is attached.
From the diagram, we have;
The angle, θ₁ formed by the rope and the 7.2 ft. segment is given as follows;
Therefore;
The angle formed by the segment from the cardboard square to the top of the monument, θ₂, is given as follows;
- 90° = θ₁ + θ₂
Which gives;
θ₂ ≈ 90° - 37.376° = 52.624°
Therefore;
Which gives;
d = 7.2 × tan(θ₂)
Therefore;
d = 7.2 × tan(52.624°)
Using trigonometric ratios of tangents of angles that sum up to 90°, we have;
Which gives;
Height of the monument, h = d + 5.2
Therefore;
h ≈ 9.43 + 5.2 = 14.63
- <u>The height of the monument, </u><u><em>h</em></u><u> ≈ 14.63 feet</u>
Learn more about the tangent of angles here;
