lywynisaboss1 lywynisaboss1
  • 12-12-2019
  • Mathematics
contestada

In ΔRST, the measure of ∠T=90°, the measure of ∠S=66°, and ST = 2.2 feet. Find the length of TR to the nearest tenth of a foot..

Respuesta :

calculista
calculista calculista
  • 17-12-2019

Answer:

[tex]TR=4.9\ ft[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle TRS

The tangent of angle ∠S is equal to divide the opposite side to angle ∠S (TR) by the adjacent side to angle ∠S (TS)

so

[tex]tan(S)=\frac{TR}{TS}[/tex]

we have

[tex]\angle S=66^o\\TS=2.2\ ft[/tex]

substitute

[tex]tan(66^o)=\frac{TR}{2.2}[/tex]

solve for TR

[tex]TR=(2.2)tan(66^o)[/tex]

[tex]TR=4.9\ ft[/tex]

Ver imagen calculista
Answer Link

Otras preguntas

how does condensation happen in the earth atmosphere? sorry for the subject btw.
Right answer gets brainlist
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]
How would both Hobbes and Locke argue the importance of immigration? Be sure to include natural rights and the social contract in your discussion.
. Elise is going to solve the equation shown below. Which of the following statements are correct?
You have 281 kilojoules how many kilocalories is it need to know ASAP
What did President Teddy Roosevelt build that would be his ‘legacy’. The Panama Canal The Empire State Building The Suez Canal The Great Wall
Increase 20g by 90%
Find X, the missing side of the triangle
Why do some people require bifocals (or even trifocals) as they age?​