Question

kayson is looking at two buildings, building a and building b, at an angle of elevation of 73°. building a is 30 feet away, and building b is 35 feet away. which building is taller and by approximately how many feet? (4 points)

building a; it is around 16.35 feet taller than building b
building a; it is around 114.48 feet taller than building b
building b; it is around 16.35 feet taller than building a
building b; it is around 114.48 feet taller than building a

Explanation:

Model the heights of the buildings

Using the Right Triangle Trigonometry and Tangent Ratio knowledge points

$$
LATEXBLOCK0
$$

Calculate the height values

Using the Tangent Ratio knowledge point

$$
LATEXBLOCK1
$$

Determine the height difference

Using the Right Triangle Trigonometry knowledge point

$$
LATEXBLOCK2
$$

Answer:

• Building A; it is around 16.35 feet taller than building B
• Building A; it is around 114.48 feet taller than building B
• Building B; it is around 16.35 feet taller than building A (Correct answer)
• Building B; it is around 114.48 feet taller than building A