Question

What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

A. 8.1
B. 9.1
C. 23
D. 3

Answer 1

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

• Triangle NMP

• Triangle NPO

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

${\frac{NP}{MP}$  = $\frac{PO}{NP}$    

$\frac{h}{13}$ = $\frac{5}{h}$

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.