(0.00142857)=-x is your answer
3.906m
Step-by-step explanation:
from the topic angle of elevation and depression
putting down the above question diagrammatically
we have a triangle
The angle of elevation pad looking up = 38°
using the tangent rule TOA
TAN∅= OPPOSITE/ADJACENT
we have
tan 38° = x/5
x= tan 38° × 5
x= 0.781 * 5
x = 3.906m
We know that
[lateral surface area of a regular triangular pyramid]=3*[area of one <span>equilateral triangle]
so
[area of one </span>equilateral triangle]=lateral surface/3-----> 81/3-----> 27 ft²
[<span>surface area of the regular triangular pyramid]=lateral area+area of the base
area of the base is equals to the area of the lateral sides because are </span>equilateral triangles
therefore
area of the base=27 ft²
[surface area of the regular triangular pyramid]=81+27----> 108 ft²
the answer is
<span>the surface area of the regular triangular pyramid is 108 ft</span>²
