Question

the diagram shows a right-angled triangle. what is the value of h? give your answer correct to 1 decimal place.

Answer 1

Step-by-step explanation:

Hello there!!

You can find it through simple way of ratio of sin or also by using cosine rule.

Lets do it simply as i can see your just 1st pic not second one so, i will answer you according to it.

so, here in question a Right angled triangle is given, with one angle 31° and one side 15 cm.

let's take sin angle as sin 31°.

so, p=h

h=15

We dont need base (b) here.

As we know that, thesin in ratio angle is

sin thita = p/h

or, sin 31°=h/15

or, 0.515038×15=h (using calculator sin 31°=0.515038.)

Therefore, the answer is 7.722557cm or 8cm.(as 7>5 and rounding off it we get 8).

Hope it helps...

Answer 2

The value of h in the right angled triangle is 7.7 cm.

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

In the diagrams, using trigonometric ratio:

a) sin(31) = h/15

h = 7.7 cm

b) cos(24) = h/13

h = 11.9 cm

c) sin(37) = h/15

h = 9 cm

d) cos(47) = h/12

h =8.2 cm

e) sin(48) = h/18

h = 13.4 cm

The value of h in the right angled triangle is 7.7 cm.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828