Dr. black is standing 15 feet from a streetlamp. the lamp is making his shadow 8 feet long. he estimates that the angle of elevation from the tip of his shadow to the top of the street lamp is 50. to the nearest foot, the streetlamp is about

plz .

ythe base of the triangle is 15 + 8 = 23 feet

 and the angle is 50 degrees

to find the height of the street lamp

 multiply the base ( 23) by the Tan(50)

tan(50) x 23 = 27.41 feet rounded to nearest foot would be 27 feet

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches