132k views
4 votes
Dr. Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30. To the nearest foot, the streetlamp is about _____.

User Godzilla
by
7.7k points

1 Answer

2 votes

the base of the triangle would be 20 +5 = 25 feet

the angle of elevation is 30 degrees

multiply tan(30) by 25 = 14.433

rounded to nearest foot = 14 feet


User Athar
by
8.5k points