Number 3 would be C and number 4 would be D
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.
- The height of the monument is approximately<u> 14.63 feet</u>.
<h3>Calculation methods used</h3>
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;
The angle formed by the segment from the cardboard square to the top of the monument, θ₂, is given as follows;
θ₂ ≈ 90° - 37.376° = 52.624°
d = 7.2 × tan(θ₂)
d = 7.2 × tan(52.624°)
Using trigonometric ratios of tangents of angles that sum up to 90°, we have;
Height of the monument, h = d + 5.2
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;
the answer is 6(7+4)