Question

in angle HIJ the measure of angle J is equal to 90° HI is equal to 88 ft,and IJ=62ft . find the measure of angle I to the earest tenths of a degree

Answer 1

Answer: $45.21^{\circ }$

Step-by-step explanation:

Given

$\angle J=90^{\circ }$

HI=88 ft

IJ=62 ft

From the figure, we can write

$\cos I=\frac{IJ}{HI}=\frac{62}{88}=\frac{31}{44}\\I=\cos^{-1} (\frac{31}{44})=45.207^{\circ }\approx 45.21^{\circ }$