KorayL116914 KorayL116914
  • 03-11-2022
  • Mathematics
contestada

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=62°, and IJ = 86 feet. Find the length of HI to the nearest tenth of a foot.

Respuesta :

AkiyahA154405 AkiyahA154405
  • 03-11-2022

To get the angle at H:

The total angle in a triangle = 180

< H = 180 - (90+ 62)

To get the length HI, the hypotenuse

[tex]\cos \text{ 62 = }\frac{86}{x}[/tex]

[tex]\begin{gathered} x\text{ = }\frac{86}{\cos \text{ 62}} \\ \\ x\text{ = }\frac{86}{0.4695} \\ x\text{ = 183.185 f}eet \end{gathered}[/tex]

The length HI = x = 183. 2 Feet to the nearest tenth

Ver imagen AkiyahA154405
Answer Link

Otras preguntas

What is a polynomial with a single root at x = -8 and a double root at x = -2?
Find the value of the algebraic expression for the given values of the variables. x2 − 3y3 + 4z for x = −4, y = −2, z = 6
Solve by making an equation. The second angle of a triangle is 20 degrees greater than the first angle. The third angle is twice the second. Find the three angl
At one time, the Texas Junior College Teachers Association annual conference was held in Austin. At that time a taxi ride in Austin was $1.15 for the first 1/5
How do I solve this problem b+2/b-1=4/5
Write using algebra. Jimmy ran m miles in t minutes. What was his speed?
How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?
PLEASE READ and ANSWER! How do I multiply 0.79 x 3.7 step by step? Pls Answer!!
arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x a. -19x^2 b.2 c.4x^3 d.-7x
Write an equation in point-slope form of the line through point p(9, -1) with slope -5.