Question

A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to have a rooftop patio

Answer 1

Answer:

$\theta = 4.8^\circ$

It is possible

Step-by-step explanation:

Given

See attachment for the construction

Solving (a): The minimum angle

This is calculated as thus:

$tan(\theta) = \frac{Opposite}{Adjacent}$

$tan(\theta) = \frac{15}{180}$

$tan(\theta) = 0.0833$

Calculate $\theta$

$\theta = tan^{-1}(0.0833)$

$\theta = 4.761$

$\theta = 4.8^\circ$ --- approximated

Solving (b):

First; calculate the height of the building using the following equivalent ratio.

$h : 420 = 15 : 180$

Where h is the height of the building

$\frac{h }{ 420 }= \frac{15 }{ 180}$

$h= \frac{15 }{ 180}*420$

$h= \frac{15*420 }{ 180}$

$h= \frac{6300}{ 180}$

$h= 35$

This means that it is possible that the builder builds a 32 feet high building