In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the

Mathematics

1 answer:

kirill [66]2 years ago

3 0

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2

You might be interested in

Around 2.232 to the nearest hundredth

Korolek [52]

$2.232\approx2.32$

3 0

2 years ago

Pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and

anastassius [24]

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

5 0

3 years ago

{24, 95, 76, 60, 15, 48, 80, 75} a. Mean = b. Median c. Mode =

sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
$\frac{24+95+76+60+15+48+80+75}{8}$

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
$15, 24, 48, 60, 75, 76, 80, 95$ . The middle ones are 60 & 75 so $\frac{60+75}{2}$

Mode = The number that repeats more times. In this case none of them repeat.