dianaelisseev4714 dianaelisseev4714
  • 26-02-2021
  • Mathematics
contestada

A building casts a 32m shadow when the sun is at an angle of 30 degrees to the vertical. How tall is the building to the nearest meter?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 01-03-2021

Answer:

16m tall

Step-by-step explanation:

Distance casted by the shadow = 32m = hypotenuse

Angle of elevation = 30 degrees

Required

Height of the building = opposite

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = x/32

0.5 = x/32

x = 0.5 * 32

x = 16m

Hence the building is 16m tall

Answer Link

Otras preguntas

Jade’s cat weights 8.3 pounds. Her dog weighs 5 times as much as her cat. Use the bar diagram to find the weight of Jade’s dog.
PLZ HELP WILL GIVE BRAINLIST, A triangle has side lengths of (4b-6c) centimeters, (9b-d) centimeters, and (3d-c) centimeters. Which expression represents the pe
Question 6 1 pts The cost per student, c, needed for the class trip varies inversely as the number of students, s, going on the trip. If the trip costs $8 per s
What is the mass of a truck if it is accelerating at a rate of 7m/s2 and hits a car with a force of 6,500N?
messenger RNA (mRNA) carries the information to make a specific___from the DNA in the___to the ribosomes in the___.
What freedom were they fighting for in the Drummer boy of Shiloh?
How do we get from volume to length?
In which section would the reader most likely learn about why some people choose not to get flu shots? Herd about the Flu Where is the shot, and why can't you g
f(x)=7x^2-8+9x^4÷x+2
a board game is designed for ages 12 and up Write the inequality that represents the problem situation.